Question

Abc is a right angled traingle where ab = 6 ac = 8 a circle is incribed in a right angled traingle find radius of the circle

Answer 1

Hey mate

In right triangle BAC,

BC² = AB² + AC². [ by Pythagoras theoram]

= 62 + 82

= 32 + 64

= 100

Hence, BC = 10

Semi perimeter , s = (a + b + c) /2

= ( 6 + 8 + 10)/2 = 12 cm

Area of right triangle ABC = (1/2) × Ab× Ac

= (1/2) × 6 × 8 = 24 sq.cm

we know that , area of triangle = r × s

i.e 24 = r × 12

therefore , r = 2cm

Hope it's help!!!!!