Question

Please find the radius of the inscribed circle in LMN

Answer 1

radius=11

Explanation:

PQ=PS=PR for an inscribed circle. This is the radius.

PQ=-2y+15

PS=3y+5

since PS=PQ then 3y+5=-2y+15

reducing:

3y+2y+5=-2y+2y+15

5y+5=15

5y+5-5=15-5

5y=10

5y/5=10/5

y=2

substituting for y

PS=3y+5

PS=3(2)+5

PS=11