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.
Жүктеу.....
Пікірлер: 20
@jaimeyomayuza614011 ай бұрын
Excelente explicación gracias por su tiempo y dedicación. From Bogota D.C
@manalthangam11 ай бұрын
Nice one after long gap. Many thanks Madam!
@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.
@richardbailey200111 ай бұрын
Heron's formula is one for the book for future reference, thank you!
@sethstuff92111 ай бұрын
Amazing solution, keep it up!
@Soh9654 күн бұрын
Ingenious...
@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.
@Grizzly019 ай бұрын
Exact form: r = (√231)/6
@user-vm1im1jc6j
5 ай бұрын
Like √8*9*10/ 6 ?
@melvynnesperosvlog32
Ай бұрын
How do you get 231 and 6?
@mikhaCatlovers
Ай бұрын
I got the same answer 😅
@claudeabraham234711 ай бұрын
Very good!
@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
Ай бұрын
for anyone interested to implemented this in code, you can find r by: r=2*total_triangle_area/|AC|+|AB|+|BC|
@admnner2111111 ай бұрын
Tnx!❤
@omnigod76245 ай бұрын
Is there any shorter method?
@poornimadabekar4764
3 ай бұрын
😂
@omnigod7624
3 ай бұрын
I mean it's not hard and I can easily do it but it's too lengthy
@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.
Пікірлер: 20
Excelente explicación gracias por su tiempo y dedicación. From Bogota D.C
Nice one after long gap. Many thanks Madam!
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.
Heron's formula is one for the book for future reference, thank you!
Amazing solution, keep it up!
Ingenious...
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.
Exact form: r = (√231)/6
@user-vm1im1jc6j
5 ай бұрын
Like √8*9*10/ 6 ?
@melvynnesperosvlog32
Ай бұрын
How do you get 231 and 6?
@mikhaCatlovers
Ай бұрын
I got the same answer 😅
Very good!
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
Ай бұрын
for anyone interested to implemented this in code, you can find r by: r=2*total_triangle_area/|AC|+|AB|+|BC|
Tnx!❤
Is there any shorter method?
@poornimadabekar4764
3 ай бұрын
😂
@omnigod7624
3 ай бұрын
I mean it's not hard and I can easily do it but it's too lengthy
@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
2 ай бұрын
@@drwzerThat’s what GPT4 does.