Exercise 19 Page 392

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.

FG = FH + HG

SubstituteII

FG= 37, HG= 13

37 = FH + 13

SubEqn

LHS-13=RHS-13

24=FH

RearrangeEqn

Rearrange equation

FH=24

The length FH is 24.