Question

ABC is shown below. GE = -3y + 18 and GF = 5y + 2.EGFBFind the measure of the radius of the inscribed circle of ABCEnter your answer in the box.

Answer 1

GE = GF because they are the radius

-3y + 18 = 5y + 2

18 - 2 = 5y + 3y

16 = 8y

16/8 = y

2 = y

GE = radius GF = radius

GE = -3(2) + 18 GF = 5(2) + 2

= -6 + 18 GF = 10 + 2

= 12 GF = 12

Radius = 12