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.
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.
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.
the circle is called the incircle and the radius, inradius
Love It! Thank you for helping me solve my homework! Life just became much simpler!
Thank you, I'm happy to hear that!
Excelente explicación gracias por su tiempo y dedicación.
From Bogota D.C
Good lesson mam. Thanks a lot
It's my pleasure.
Exact form: r = (√231)/6
Like √8*9*10/ 6 ?
How do you get 231 and 6?
I got the same answer 😅
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.
Nice one after long gap.
Many thanks Madam!
Heron's formula is one for the book for future reference, thank you!
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.
Amazing solution, keep it up!
Ingenious...
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.
for anyone interested to implemented this in code, you can find r by:
r=2*total_triangle_area/|AC|+|AB|+|BC|
S=9*231^0.5/4 r=231^0.5/6
Tnx!❤
Very good!
Is there any shorter method?
😂
I mean it's not hard and I can easily do it but it's too lengthy
After finding area of triangle using heron’s equation, you can use a simple equation: area of triangle equal to semi perimeter times radius.
@@drwzerThat’s what GPT4 does.