What is the radius of a circle inscribed in a triangle having side lengths 35 cm, 44 cm and 75 cm?

(a) 3 cm

(b) 4 cm

(c) 5 cm

(d) 6 cm

Solution:

Given side lengths of the triangle are 35 cm, 44 cm and 75 cm.

Semi perimeter, s = (35 + 44 + 75)/2

= 154/2

= 77 cm

Area of triangle, A = √(s(s-a) (s-b) (s-c))

= √(77× 42 × 33 × 2)

= 462 cm2

Radius of incircle = area/semi perimeter

= 462/77

= 6 cm

Hence option d is the answer.

Was this answer helpful?

 
   

5 (2)

(0)
(0)

Choose An Option That Best Describes Your Problem

Thank you. Your Feedback will Help us Serve you better.

Leave a Comment

Your Mobile number and Email id will not be published. Required fields are marked *

*

*

BOOK

Free Class

Ask
Question