To find the radius, I use two different formulas for the area of a triangle.
Пікірлер: 26
@LawoftheCosines23 күн бұрын
the circle is called the incircle and the radius, inradius
@carolynzhou6708Ай бұрын
Love It! Thank you for helping me solve my homework! Life just became much simpler!
@TheMathDistrictАй бұрын
Thank you, I'm happy to hear that!
@bkp_s15 күн бұрын
Good lesson mam. Thanks a lot
@TheMathDistrict14 күн бұрын
It's my pleasure.
@jaimeyomayuza6140 Жыл бұрын
Excelente explicación gracias por su tiempo y dedicación. From Bogota D.C
@someonespadre6 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.
@Grizzly01 Жыл бұрын
Exact form: r = (√231)/6
@user-vm1im1jc6j7 ай бұрын
Like √8*9*10/ 6 ?
@melvynnesperosvlog324 ай бұрын
How do you get 231 and 6?
@mikhaCatlovers4 ай бұрын
I got the same answer 😅
@manalthangam Жыл бұрын
Nice one after long gap. Many thanks Madam!
@richardbailey2001 Жыл бұрын
Heron's formula is one for the book for future reference, thank you!
@repsaknivek5 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.
@sethstuff921 Жыл бұрын
Amazing solution, keep it up!
@fhffhffАй бұрын
S=9*231^0.5/4 r=231^0.5/6
@Soh9652 ай бұрын
Ingenious...
@admnner21111 Жыл бұрын
Tnx!❤
@claudeabraham2347 Жыл бұрын
Very good!
@footballCartoon914 ай 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.
@footballCartoon914 ай бұрын
for anyone interested to implemented this in code, you can find r by: r=2*total_triangle_area/|AC|+|AB|+|BC|
@omnigod76247 ай бұрын
Is there any shorter method?
@poornimadabekar47646 ай бұрын
😂
@omnigod76246 ай бұрын
I mean it's not hard and I can easily do it but it's too lengthy
@drwzer5 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.