In Fig. 10.53, ABC is a right triangle right-angled at B such that BC = 6 cm and AB = 8 cm. Find the radius of its incircle.

Question

Philoid · Accepted Answer

Let ABC be the right angled triangle such that angle B=90^o, BC=6cm, AB= 8cm. Let O be the centre and r be the radius of the in circle.

AB, BC and CA are tangent to the circle at P,N and M

OP=ON=OM=r (radius of the circle)