Given a Circle Inscribed in a Triangle, Find the Radius of the Circle.

To find the radius, I use two different formulas for the area of a triangle.

Пікірлер: 20

  • @jaimeyomayuza6140
    @jaimeyomayuza614011 ай бұрын

    Excelente explicación gracias por su tiempo y dedicación. From Bogota D.C

  • @manalthangam
    @manalthangam11 ай бұрын

    Nice one after long gap. Many thanks Madam!

  • @someonespadre
    @someonespadre3 ай бұрын

    Found the formula in the back of my copy Major-General Shortrede’s logarithmic Trig Function Tables (19th century). Didn’t know it’s called Heron’s formula. Shortrede uses it thus: SinA=(2/b*c)*area.

  • @richardbailey2001
    @richardbailey200111 ай бұрын

    Heron's formula is one for the book for future reference, thank you!

  • @sethstuff921
    @sethstuff92111 ай бұрын

    Amazing solution, keep it up!

  • @Soh965
    @Soh9654 күн бұрын

    Ingenious...

  • @repsaknivek
    @repsaknivek2 ай бұрын

    Hmm. so the answer turns out to be the triangle's area divided by S (the semi-perimeter of the triangle). Is it always that way? Because then we could solve for the radius in just a few seconds each time.

  • @Grizzly01
    @Grizzly019 ай бұрын

    Exact form: r = (√231)/6

  • @user-vm1im1jc6j

    @user-vm1im1jc6j

    5 ай бұрын

    Like √8*9*10/ 6 ?

  • @melvynnesperosvlog32

    @melvynnesperosvlog32

    Ай бұрын

    How do you get 231 and 6?

  • @mikhaCatlovers

    @mikhaCatlovers

    Ай бұрын

    I got the same answer 😅

  • @claudeabraham2347
    @claudeabraham234711 ай бұрын

    Very good!

  • @astaghfirullahalzimastaghf3648
    @astaghfirullahalzimastaghf3648Ай бұрын

    this is the first time i heard about that heron's formula. This algorithm is good for finding the maximum radius of a circle in a given triangle. I think. But square root in programming is quite slow.

  • @astaghfirullahalzimastaghf3648

    @astaghfirullahalzimastaghf3648

    Ай бұрын

    for anyone interested to implemented this in code, you can find r by: r=2*total_triangle_area/|AC|+|AB|+|BC|

  • @admnner21111
    @admnner2111111 ай бұрын

    Tnx!❤

  • @omnigod7624
    @omnigod76245 ай бұрын

    Is there any shorter method?

  • @poornimadabekar4764

    @poornimadabekar4764

    3 ай бұрын

    😂

  • @omnigod7624

    @omnigod7624

    3 ай бұрын

    I mean it's not hard and I can easily do it but it's too lengthy

  • @drwzer

    @drwzer

    2 ай бұрын

    After finding area of triangle using heron’s equation, you can use a simple equation: area of triangle equal to semi perimeter times radius.

  • @chrisreed5463

    @chrisreed5463

    2 ай бұрын

    ​@@drwzerThat’s what GPT4 does.