Question

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=

Answer 1

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