To find FH, we should use the Segment Addition Postulate. This postulate tells us that, if we have a point between two points, we can add the lengths of the two smaller segments to find the longer segment length. In our case, H is between F and G, so FG is the sum of FH and HG.
FG = FH + HG
From the diagram, we know that the length FG is 37 and the length HG is 13. Now, we can use this to calculate FH.
