If-a-circle-of-radius-r-is-inscribed-in-a-triangl-ABC-Express-r-in-terms-of-a-b-and-c-only-

Question Number 202001 by necx122 last updated on 18/Dec/23

I f a c i r c l e o f r a d i u s r i s i n s c r i b e d i n

a t r i a n g l A B C . E x p r e s s r i n t e r m s o f

a, b a n d c o n l y

Answered by AST last updated on 18/Dec/23

r = \frac{\sqrt{s (s - a) (s - b) (s - c)}}{s} w h e r e s = \frac{a + b + c}{2}

Commented by necx122 last updated on 18/Dec/23

Thank you. Sir, I'm interested in the proof. If I can get that I'll be more grateful.

Commented by AST last updated on 18/Dec/23

r s = a r e a o f t h e t r i a n g l e = \sqrt{s (s - a) (s - b) (s - c)}

Commented by necx122 last updated on 18/Dec/23

Thanks