Answer:
FH = 7
Step-by-step explanation:
Look at the figure below.
In this problem, we use twice the definition of a point between two points.
Point F is between points E and G, so
EF + FG = EG
Point G is between points F and H, so
FG + GH = FH
From point F being between points E and G, we have:
EF + FG = EG
We are shown that EF = 8 and EG = 10.
8 + FG = 10
FG = 2
From point G being between points F and H, we have:
FH = FG + GH
We calculated FG = 2, and we are shown that GH = 5.
FH = 2 + 5
FH = 7
