Question

Lind GJ is tangent to point A and point G.

If HF = 12, find IF.

Answer 1

АF = AH  (radii)  ⇒ ΔHАF is an isosceles triangle.

In an isosceles triangle the altitude drawn to the base is also the median  ⇒  
HI = IF.

IF = HF/2 = 12/2 = 6 units.