Question

what is fg?
fg = □
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Explanation:

Step1: Identify triangle property

We see that $FH$ is a perpendicular bisector of $GE$ (since $GH=HE=52$ and $FH\perp GE$). By the perpendicular bisector theorem, any point on the perpendicular bisector is equidistant from the endpoints of the segment.

Step2: Apply perpendicular bisector theorem

Since $F$ lies on the perpendicular bisector of $GE$, $FG = FE$. We know $FE=84$, so $FG=84$.

Answer:

84