Question

Triangle F, G, HFGH is formed by connecting the midpoints of the side of triangle C, D, ECDE. The lengths of the sides of triangle C, D, ECDE are shown. What is the length of start overline, F, G, end overline
FG
? Figures not necessarily drawn to scale.
C
D
E
F
G
H
8
8
10
Answer
Attempt 1 out of 2

FG = what

Answer 1

5

Reason: F and G are midpoints of CD and CE, so FG is a midsegment of triangle CDE. A midsegment is parallel to the third side and equals half its length, so FG = (1/2)·DE = (1/2)·10 = 5.