Question

find hg.
if gj is the perp bisector to fh, then to find hg.

Explanation:

Step1: Use the Perpendicular Bisector Theorem

The Perpendicular Bisector Theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Since \( GJ \) is the perpendicular bisector of \( FH \), point \( G \) is on the perpendicular bisector of \( FH \).
So, \( GF = GH \).

Step2: Identify the value of \( GF \)

From the diagram, \( GF = 14 \).

Answer:

\( HG=14 \)