Answer:
r = 97/8 = 12.13
Step-by-step explanation:
Let r = radius = MG = EG
AG = r - 4
ΔMAG is a right triangle. By the Pythagorean theorem, we have
[tex]MG^{2} = MA^{2} + AG^{2}[/tex]
[tex]r^{2} = 9^{2} + (r - 4)^{2}[/tex] = [tex]81 + r^{2} - 8r + 16[/tex]
8r = 81 + 16
8r = 97
r = 97/8
