Question

If 13,14,15 are the sides of triangle.find cricum radius

Answer 1

Answer:

let r be the radius.

join centre of the circle to three vertices of the triangle

Original triangle is divided into three triangles

The sum of areas of these three triangles =

1/2×r×(13+14+15)

=21r

s=(13+14+15)/2=21

Original area of the triangle=√(21×(21-13)×(21-14)×(21-15)

=7×3×4

21r=7×3×4

r=4 Ans