Geometric Mean Example problem similar triangle

In this is yet another example of geometric mean with similar triangles where a right triangle with an altitude is split into three similar triangles. Thanks to math site I used with the applet that shows the translations to create the three similar triangles.

Пікірлер: 214

  • @Grace-vs9is
    @Grace-vs9is7 жыл бұрын

    Doesn't it suck that so many students are coming online to get math help because our teachers/curriculum/school system is incompetent

  • @danielschaben

    @danielschaben

    7 жыл бұрын

    I don't think it shows incompetence. I see this as a tool that is helping students understand mathematics better than any generation of humans before. The students under the age of 20 should be some of the best mathematicians of all time. Imagine what could have happened if Ramanujan had youtube when he lived in India. I think it opens up access to high levels of math for students around the world..... It is awesome, and I hope to live to see some of the fruits of this labor. Thanks for the comment.

  • @Grace-vs9is

    @Grace-vs9is

    7 жыл бұрын

    I completely agree with all you've said! The internet (specifically places like KZread) are amazing resources for students, and I think it's great that we are lucky enough to have such things available to us. The point that I was trying to make was that it's a little sad to see so many people commenting that they weren't taught the concept(s) in a way they could understand in the first place. I realize now that my first statement was a bit general; sorry if there was confusion. But know I truly appreciate videos like this, thank you for posting them.

  • @MichaelPari

    @MichaelPari

    5 жыл бұрын

    i just haven’t been paying attention bc i’ve been tired lol

  • @mansanitas6468

    @mansanitas6468

    5 жыл бұрын

    My teacher just writes down on the board what he sees on the paper he's basing his lesson from, and just reads what he wrote without further explanation. ::((

  • @zenriley2351

    @zenriley2351

    5 жыл бұрын

    They changed the curriculum to supposedly help the kids, but nobody is better. The teachers are worst, and the kids are dumber

  • @idontreallyknow1649
    @idontreallyknow16497 жыл бұрын

    I've spent the last 4 days sitting in geometry class with no idea what the hell my teacher was talking about... watch a 10 minute video and I understand it completely.

  • @danielschaben

    @danielschaben

    7 жыл бұрын

    Glad I could help!

  • @jacobsealy1983

    @jacobsealy1983

    7 жыл бұрын

    i have a midterm tomorrow thank you soo much for this post.

  • @MichaelPari

    @MichaelPari

    5 жыл бұрын

    😂

  • @geodestrix

    @geodestrix

    5 жыл бұрын

    Kyle Bloomquist DUDE SAME

  • @veerlol6791

    @veerlol6791

    Жыл бұрын

    u got it now?

  • @jonathanyun5472
    @jonathanyun54729 жыл бұрын

    I like how you're a better teacher than my geometry teacher at school...

  • @ShadowFox6452

    @ShadowFox6452

    6 жыл бұрын

    Yea he is lol, I fell asleep so as usual my mom got contacted but I told her I'd learn it on my own so I wasn't behind. So know I got the sleep I needed and the info I needed.

  • @diamondj6792

    @diamondj6792

    5 жыл бұрын

    Sameer!!

  • @ironvenator3405

    @ironvenator3405

    5 жыл бұрын

    At least you have a geometery teacher. Mine quit so we did not have a teacher for half the school year plus some.

  • @charliefreilich5885

    @charliefreilich5885

    5 жыл бұрын

    @Bryan Hernandez It really doesn't

  • @danielschaben

    @danielschaben

    5 жыл бұрын

    @Bryan Hernandez a job wont necessarily have you find geometric mean. But I am a big believer that forcing your brain to work through this and learning the math terminology that allows you communicate your ideas to other humans is what is important. The only education that is important is what you teach yourself. Forced education doesn't work. Although learning more math never hurt anyone. And skipping school does.

  • @bigslime8429
    @bigslime84296 жыл бұрын

    You're a better teacher than my geometry teacher is. You taught in 10 minutes what it takes her to half-teach in about 35 minutes.

  • @danielschaben

    @danielschaben

    6 жыл бұрын

    Deep Thought960 took me a lot of years to develop this method. Thanks for the comment. Best of luck

  • @diamondj6792

    @diamondj6792

    5 жыл бұрын

    mines go too fast!

  • @moeking2627

    @moeking2627

    5 жыл бұрын

    Diamond Jackson “Mines is not a word”

  • @elijaherickson8841
    @elijaherickson88415 жыл бұрын

    My test is tomorrow and I finally understand this. Thank you!

  • @faithjordan8801
    @faithjordan88018 жыл бұрын

    Omg! The way you taught this finally clicked in my head! I think that it helped that you broke it down. Before I just could not get it. Thank you so much!!

  • @lightryuzaki3974

    @lightryuzaki3974

    6 жыл бұрын

    Do you pass?..

  • @MaryyamG
    @MaryyamG10 жыл бұрын

    God bless this video!!! My geometry teacher taught us a totally different (hard/confusing) way, but this way is (1000000x) easier!! Thank you sooooo much for doing this!

  • @gerardocanedo2744
    @gerardocanedo274410 жыл бұрын

    I watched every video on geometric mean and i didnt understand it understand until i watched this one

  • @killaki_
    @killaki_ Жыл бұрын

    Made me learn and understand in 10 minutes what my actual teacher couldn't teach me in 2 hours. What an absolute chad

  • @saulin691
    @saulin6919 жыл бұрын

    my teacher has me confused, but you are getting me into this more, thank you. really.

  • @aimeebecker7856
    @aimeebecker78568 жыл бұрын

    THIS HELPED SO MUCH! Please make more videos like this, you explain everything SO WELL!! :))

  • @snapebtwalt
    @snapebtwalt6 жыл бұрын

    After 15 videos this is the only one that made me understand THANK YOU

  • @alexparra9721
    @alexparra97216 жыл бұрын

    Woah you enlightened me... I didn't get it until I saw the triangles separated like that... Thanks a lot

  • @jaskaur9817
    @jaskaur98178 жыл бұрын

    Thank you so much for this video!! I might actually get an a on my geometry test tomorrow!!

  • @JoshuaBrown-hp8wp
    @JoshuaBrown-hp8wp8 жыл бұрын

    JESUS! THANK YOU FOR THIS VIDEO! everything makes sense now!! it all clicked in a matter of minutes into the video! compared to an hour lesson in class! you make my geometry teacher look bad! probably bc he is. THANK YOU

  • @serenityinpink1296
    @serenityinpink12964 ай бұрын

    Got more useful information from this than my actual teacher so if u see this sir thank you so much

  • @kevinnania3652
    @kevinnania36527 жыл бұрын

    This video just helped me understand the hardest area in geometry for me.

  • @ishaankarandikar1028
    @ishaankarandikar10287 жыл бұрын

    Thank god for a decent explanation of geometric means.

  • @bigstuff52
    @bigstuff529 жыл бұрын

    Thanks so much-After a lot of frustration I finally got it!!

  • @kunalrevankar3583
    @kunalrevankar35838 жыл бұрын

    my shit teacher does not teach nicely thanks to the video

  • @ruse8509

    @ruse8509

    5 жыл бұрын

    does your english teacher suck too?

  • @howaboutno5569

    @howaboutno5569

    5 жыл бұрын

    RuSe LMAO

  • @morganbutler4707
    @morganbutler470711 жыл бұрын

    This is amazing! My teacher explained the 7/x=x/14 sort of thing, but he wasn't completely clear on how to get there with the triangles. Thank you!

  • @branwynmccormick558
    @branwynmccormick5585 жыл бұрын

    +1 subscriber! Thanks so much for this video, it really helped me fully understand what was being taught in my geometry class!! :)

  • @danielschaben

    @danielschaben

    5 жыл бұрын

    so glad it was helpful!

  • @alaynatodd6367
    @alaynatodd63679 жыл бұрын

    this is so helpful!! thank u for posting:)

  • @rachelwalker3704
    @rachelwalker37045 жыл бұрын

    why is this so much easier than what i was taught? it makes SO much more sense!!

  • @danielschaben

    @danielschaben

    5 жыл бұрын

    glad I could help. I developed this method after finding out the method I learned doesn't work when teaching to most kids

  • @christinabest7074
    @christinabest707411 жыл бұрын

    This just saved my grade! I have a test tomorrow, and now I understand how to do the problems!!! Thank you so much!

  • @roldyyy16
    @roldyyy168 жыл бұрын

    Thank you ! You answer my questions !

  • @releasethequakin
    @releasethequakin8 жыл бұрын

    Thank you! I have a math final tomorrow and knowing what to multiple always confusing me. The diagrams help greatly

  • @dux_plays3435
    @dux_plays34353 жыл бұрын

    working on a math test right now, didn’t understand a single thing in class. so glad i found this vid

  • @danielschaben

    @danielschaben

    3 жыл бұрын

    You're welcome! I'm glad I could help!

  • @Chai_Chen0001
    @Chai_Chen00015 жыл бұрын

    This video helped me out so much thank you

  • @isaacmontieth2795
    @isaacmontieth27957 жыл бұрын

    Great vid, thanks for the help!

  • @legab420
    @legab4202 жыл бұрын

    you can also solve it using euclid’s second theorem, because it says that a square built on the height relative to the hypotenuse is equal to a rectangle that has for sides the projection of the 2 sides on the hypotenuse, so you find x immediately by building the rectangle and extracting the square root, then you just do pythagorean theorem and you’re fine

  • @monicagarcia8812
    @monicagarcia88128 жыл бұрын

    Thank you so much!!! i'm not going to fail my first test! :D

  • @christianharp8086
    @christianharp80868 жыл бұрын

    Your legit a life saver that you so much!!!

  • @ethanlora2126
    @ethanlora21266 жыл бұрын

    Thanks so much. I have a test in a few days and I did not understand this. But now I do, thanks so much

  • @naseerakhtar7706
    @naseerakhtar77065 жыл бұрын

    Thnx ur teaching style is the best and super

  • @fatimaalharmodi6012
    @fatimaalharmodi60125 жыл бұрын

    When you learn the concept in 9 before 10 minutes from your test

  • @TriptoBrodcast
    @TriptoBrodcast5 жыл бұрын

    Thank you. Now imma past my math exam tmw

  • @suyashkumar6962
    @suyashkumar69625 жыл бұрын

    Took my teacher 30 min to explain and I didn’t understand After watch this video I completely understand

  • @gamerzattackchannel
    @gamerzattackchannel11 жыл бұрын

    Thanks! Helped a lot!

  • @MichaelPari
    @MichaelPari5 жыл бұрын

    thanks broski, passing my test tomorrow

  • @kayelint
    @kayelint5 жыл бұрын

    im just glad we can zoom up the lesson unlike in real life

  • @mississippioutdoorsman126
    @mississippioutdoorsman1265 жыл бұрын

    You helped me more than my Teacher.

  • @rainrain7913
    @rainrain79138 жыл бұрын

    you awesome Mr ..it did help me...👍👍👍👍👍👍👍

  • @athenaf.6191
    @athenaf.61919 жыл бұрын

    Thank you Soooo muccchh

  • @sammydaluz4761
    @sammydaluz47618 жыл бұрын

    Thanks this helps alot!!

  • @mohammedabbaro764
    @mohammedabbaro7648 жыл бұрын

    thanx it's really helpful

  • @pranavravula643
    @pranavravula6434 жыл бұрын

    Very helpful thank you very much

  • @Busaio
    @Busaio5 жыл бұрын

    So useful

  • @Hshidmzajdmz
    @Hshidmzajdmz11 жыл бұрын

    yeah u should make one. but this video was amazing. have my prelims next tuesday. atleast i would ace geometry. thank you!

  • @banana_man045
    @banana_man0454 ай бұрын

    you explained this so good thank you!!!

  • @danielschaben

    @danielschaben

    4 ай бұрын

    Thanks!!!

  • @yellowracecar740
    @yellowracecar7407 жыл бұрын

    thanks. saved me and 10000000 lives. god bless you.

  • @danielschaben

    @danielschaben

    7 жыл бұрын

    Your welcome. Glad it had value for you:)

  • @dappermcstache521
    @dappermcstache5216 жыл бұрын

    Sorry, but whenever I hear you say root, I think röt.. :P great video tho, helped a lot :)

  • @kaivenh
    @kaivenh5 жыл бұрын

    Wasn’t here in class for this lesson thanks❤️

  • @danielschaben

    @danielschaben

    5 жыл бұрын

    your welcome

  • @jamesfurnia727
    @jamesfurnia7277 жыл бұрын

    Very helpful thankyou

  • @GeneralPuppet
    @GeneralPuppet Жыл бұрын

    Thanks for your help man🙏 didn't understand this

  • @danielschaben

    @danielschaben

    Жыл бұрын

    You're welcome. Glad it was helpful!

  • @derrickbarnes3126
    @derrickbarnes31267 жыл бұрын

    Thank you =D

  • @MM-ix9xf
    @MM-ix9xf7 жыл бұрын

    Thanks bro👍

  • @saiaawhad785
    @saiaawhad785 Жыл бұрын

    Hiiii , I am from India ,your teaching is very well I hope I meet you thanks for teaching 😊🌠 love youhhh❤️🌹♥️🌹🌹

  • @danielschaben

    @danielschaben

    Жыл бұрын

    Thanks and welcome. Glad I could help

  • @saiaawhad785

    @saiaawhad785

    Жыл бұрын

    @@danielschaben ☺️🌹❤️😋

  • @ryanbullock5110
    @ryanbullock51105 жыл бұрын

    Thanks So Much!

  • @danielschaben

    @danielschaben

    5 жыл бұрын

    glad I can help

  • @zaqgoz4765
    @zaqgoz47657 жыл бұрын

    I confused with the square rooting.. but this helped.

  • @qmelon4263
    @qmelon42633 жыл бұрын

    Thank you so much for this

  • @danielschaben

    @danielschaben

    3 жыл бұрын

    You're so welcome!

  • @shahnawazmustafa7200
    @shahnawazmustafa72005 жыл бұрын

    By geometry mean theorem you can directly reach to equation x square= 12*5, rest all we can solve with this value.

  • @rainrain7913
    @rainrain79138 жыл бұрын

    Thank you

  • @enashameed471
    @enashameed4713 жыл бұрын

    جزاك الله خيرا thanks

  • @tears6687
    @tears66875 жыл бұрын

    Whenever I ask a question to my geometry teacher, he will always say:" Well what does it say on the paper, read the instructions" Like what the fuck?! Anyways this video is really helpful and I wish you are my geometry professor :), have a nice day if you are reading this. :D

  • @danielschaben

    @danielschaben

    5 жыл бұрын

    Thanks for the comment. and yes. I hated being taught like that.... so that is why I do it differently:)

  • @dajjohn5479
    @dajjohn54797 жыл бұрын

    bruh I love you

  • @LilDoNFN
    @LilDoNFNАй бұрын

    Thank u so much

  • @danielschaben

    @danielschaben

    Ай бұрын

    You are welcome

  • @mrcoomeer
    @mrcoomeer3 жыл бұрын

    My teacher just started teaching us this then barley giving us hints instead giving us practice we did a test I screen screenshot my notes but its not helping I got frustrated when i fail first time I copy the correct answers because I can redo it ,soon I felt bad about cheating I really wanted to do it by myself so I came here u shade some light on I want to thank you.

  • @danielschaben

    @danielschaben

    3 жыл бұрын

    Glad I was helpful!

  • @user-ng7lb8je3o
    @user-ng7lb8je3o7 жыл бұрын

    thank you for simplifying the answer but I think there is a better method than the one which you gave you can say: x^2=12×5 then you will get the answer

  • @ahmedbaig7279
    @ahmedbaig72795 жыл бұрын

    When you find the height of the triangle, then you can calculate the area of that triangle. Please go forward and use Heron's farmula to recheck that all calculations are up to the mark. This has to be done at 8th standard world over. -

  • @ankitrules1881
    @ankitrules188110 жыл бұрын

    My question is: (at 0:58-1:02) why has the smallest triangle taken out that way? Basically what is the concept behind interchanging the sides 'r' & 'H' ?

  • @memeteam7481
    @memeteam74812 жыл бұрын

    Did I just learn more in 10 minutes than I did in 14 hours of school

  • @danielschaben

    @danielschaben

    2 жыл бұрын

    Thanks for that. I hope so, It took me a lot to develop this method of finding geometric mean. Thanks for the comment!

  • @pooopsoup
    @pooopsoup5 жыл бұрын

    literally like I couldn't even get this whole entire concept with my online geometry class. My teacher won't help me either and won't respond to me..So thanks for the video. Also, I wonder how you would do this but with 2 measurements and x only, that's my assignment right now so.. ;-;

  • @danielschaben

    @danielschaben

    5 жыл бұрын

    pythagorean theorem helps here as well. but send me problem. i am more than willing to make video

  • @danielschaben

    @danielschaben

    5 жыл бұрын

    and thanks for comment

  • @shamsaalmarri4314
    @shamsaalmarri43143 жыл бұрын

    thank you

  • @danielschaben

    @danielschaben

    3 жыл бұрын

    your Welcome!

  • @rexr3306
    @rexr33066 жыл бұрын

    My teacher made it look like its stephen hawking shit while this guy made it look like kindergarten math

  • @danielschaben

    @danielschaben

    6 жыл бұрын

    You made my entire day😁 thank you

  • @josephmanman14
    @josephmanman1410 жыл бұрын

    Explain how you broke down 60 how did you know to use 3 and 20

  • @ldiazmdiaz
    @ldiazmdiaz3 жыл бұрын

    vertical line, X=square root of (5*12)

  • @danielschaben

    @danielschaben

    3 жыл бұрын

    geometric mean. Yes

  • @larissaacosta6139
    @larissaacosta61395 жыл бұрын

    wow thank you

  • @danielschaben

    @danielschaben

    5 жыл бұрын

    glad I could help

  • @pauldiezcanseco2978
    @pauldiezcanseco29785 жыл бұрын

    You done made this shit more confusing

  • @teddee9654
    @teddee9654 Жыл бұрын

    thx man

  • @danielschaben

    @danielschaben

    Жыл бұрын

    You're Welcome!

  • @Katerina0606_
    @Katerina0606_ Жыл бұрын

    5:15 does this method work for every problem? I’m pretty sure some people call it a “factor tree” if I use that every time on these kinds of problems will it always be right? I hope this makes sense, thanks for the great video!

  • @danielschaben

    @danielschaben

    Жыл бұрын

    Yes. It works as long as the triangle is a right triangle. Thanks for the comment and question.

  • @Katerina0606_

    @Katerina0606_

    Жыл бұрын

    @@danielschaben No problem! Thank you so much :)

  • @bemay5666
    @bemay56665 жыл бұрын

    Ty

  • @josephmanman14
    @josephmanman1410 жыл бұрын

    How did you know to use 30 * 20

  • @Bloopmaker
    @Bloopmaker9 жыл бұрын

    it all makes sense *-*

  • @huntergollin8860
    @huntergollin88607 жыл бұрын

    yo is this the same thing as mean proportional?? (Please respond soon my midterm is tomorrow for geometry honors lol).

  • @danielschaben

    @danielschaben

    7 жыл бұрын

    Yes! sorry. Just logged in:(

  • @mdftha3rd675
    @mdftha3rd6756 жыл бұрын

    How did you get the 15 when you solved for x for the red triangle?

  • @mdftha3rd675

    @mdftha3rd675

    6 жыл бұрын

    Nvm I’m stupid 🤦🏾‍♂️

  • @teresaparrocha4872
    @teresaparrocha48725 жыл бұрын

    my teacher give this as our report

  • @danielschaben

    @danielschaben

    5 жыл бұрын

    did my video help?

  • @willy5226
    @willy52265 жыл бұрын

    This actually helps so much, I have a quiz tomorrow for geometry and this was the only aspect I didn’t fully understand

  • @fractionpassion
    @fractionpassion6 жыл бұрын

    For x where did you get the 15 from?

  • @danielschaben

    @danielschaben

    6 жыл бұрын

    Mon Bon look up videos on how to simplify radicals. Here when you factor out 60 to its prime factors 5 and 3 are factors that do not make a perfect square.... so 15 stays in the radical.

  • @electrokid9492
    @electrokid94925 жыл бұрын

    Plz tell me converse of geometric mean property

  • @gasa1165
    @gasa11657 жыл бұрын

    I don't know if u already answered this question or not, but how do yo check to make sure you got the right answer?

  • @danielschaben

    @danielschaben

    7 жыл бұрын

    What I like to do is look at the triangle. Most in your textbooks are drawn to scale. Is the largest angle across from the largest side? In this video we are dealing with right triangles. You could use Pythagorean theorem to check you answer. I don't think I have had that question. Sorry it took 3 days to answer. But that is what I do. I mainly use triangle inequality theorem to check and the fact that I have literally solved thousands of triangles:)

  • @JustPeachyHun
    @JustPeachyHun5 жыл бұрын

    I never understood how to do this until now

  • @danielschaben

    @danielschaben

    5 жыл бұрын

    Glad I could help!

  • @jeffreygerstemeier5446
    @jeffreygerstemeier54462 жыл бұрын

    How do we know that the triangles are similar? Is it stated in the problem?

  • @danielschaben

    @danielschaben

    2 жыл бұрын

    Angle angle similarly. I didn't go through the proof. There is a right angle and each of the triangles share the bottom left angle. I thought about putting that in there, but try to keep my bids under 12 minutes

  • @skylark5448
    @skylark54486 жыл бұрын

    how do you get 2 radical 15

  • @knowyourhorse

    @knowyourhorse

    6 жыл бұрын

    so radical 60 has factors of 4 and 15. four is a perfect square with a square root of 2. 15 is not a perfect square and contains no perfect squares. . . so your final answer is 2squareroot(15)

  • @jana-tz1uf
    @jana-tz1uf4 жыл бұрын

    dawg im still confused smh

  • @danielschaben

    @danielschaben

    4 жыл бұрын

    Keep working at it. This is a tough concept. Dont give up on it.

  • @cutemark5777
    @cutemark57777 жыл бұрын

    where did you get the 17??

  • @danielschaben

    @danielschaben

    7 жыл бұрын

    The bottom/hypotenuse of the large triangle. Add 5 and 12 together. Thanks for the question.

  • @cheyennehenry9000
    @cheyennehenry90006 жыл бұрын

    im confused on the 3rd triangle how is 17 the hypotenuse when it looks like it could be the long leg

  • @danielschaben

    @danielschaben

    6 жыл бұрын

    Cheyenne Henry I arrived at 17 by adding the 12 and 5

  • @kathyshaw534
    @kathyshaw5347 жыл бұрын

    where did you get 15 in the final answer

  • @danielschaben

    @danielschaben

    7 жыл бұрын

    I think you mean when I found x and ended up with 2root15 as my final answer. This would be tough to explain in a couple of comments. Look up a video on simplifying radicals. Math BFF put out a good one. I have view on my channel. Get comfortable with simplifying radicals. Your progress in Trigonometry will hinge on that skill.

  • @jumpb0y
    @jumpb0y3 жыл бұрын

    I'm having trouble putting it in terms of radicals

  • @danielschaben

    @danielschaben

    3 жыл бұрын

    Look up videos. How to simplify radicals. Or how to simplify square roots. Both will probably give you pretty good videos on how to do it. I have one. It is a tough concept. Usually takes me 3 days to get everyone in my class on board with how to do it.

  • @orion_222
    @orion_2223 жыл бұрын

    this only works with right triangles right?

  • @danielschaben

    @danielschaben

    3 жыл бұрын

    Yes

  • @orion_222

    @orion_222

    3 жыл бұрын

    @@danielschaben thank you for the quick reply