In the figure below, the segments FG and FH are tangent to the circle centered at O. Given that OG=8 and FH=8.4, find OF.OF=

We can conclude that they form a right triangle
So GF = FH
OF^2 = GF^2 + OG^2
OF^2 = 8.4^2 + 8^2
OF^2 = 70.56 + 64
OF^2 = 134.56
OF = 11.6