Question

Find the radius of circle if ∆ABC is right angled at B.

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Answer 1

Answer:

MATHS

In a △ABC, right angled at B, the in-radius is :

A

2AB+BC−AC

B

2AB+AC−BC

C

2AB+BC+AC

D

None

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ANSWER

Consider a right angled triangle, ∠B=90∘

r=sΔ

r=2a+b+c2ac

r=2(a+b+c)2ac

r−s=2(a+b+c)2ac−2a+b+c

r−s=2(a+b+c)2ac−a2−b2−c2−2ab−2bc−2ac

r−s=2(a+b+c