A triangle has corners at #(7 , 9 )#, #(3 ,7 )#, and #(1 ,8 )#. What is the radius of the triangle's inscribed circle?
1 Answer
Mar 2, 2018
Radius of inscribed circle
Explanation:
Steps :
1. Find the lengths of the three sides using distance formula
- Find the area of the triangle using formula
#A_t = sqrt(s (s - a) (s - b) ( s - c))#
- Find the semi perimeter of the triangle
- Find the area of circum radius using formula
#r_i = A_t / s#