Question

in triangle abc if the incentre then the ratio of IA :IB :IC is​

Answer 1

Answer:

in triangle abc if the incentre then the ratio of IA :IB :IC is

Answer 2

Answer:

It is given that, I is the incentre of ΔABC. Let r be the radius of the circle.

We know that,

IA=

sin(A/2)

r

IB=

sin(B/2)

r

IC=

sin(C/2)

r

Therefore,

IA:IB:IC=

sin(A/2)

r

:

sin(B/2)

r

:

sin(C/2)

r

=csc

2

A

:csc

2

B

:csc

2

C

Hence, this is the required ratio