What is the radius of the circle inscribed in triangle $abc$ if $ab = ac=7, bc=6$? express your answer in simplest radical form.

We are given

length of sides are

AB=7

AC=7

BC=6

now, we can use formula of area of triangle

where

A is area of triangle

r is radius of in-circle

s is semi-perimeter of triangle

step-1: Finding area of triangle

We can use

Heron's formula

a , b and c are values of sides

now, we can plug values

step-2: Finding radius(r)

we got

now, we can find radius

............Answer

rounding to the nearest thousandth would be 452,000

rx and sx

step-by-step explanation: