Question

Triangle G, H, IGHI is formed by connecting the midpoints of the side of triangle D, E, FDEF. The lengths of the sides of triangle D, E, FDEF are shown. What is the length of start overline, G, H, end overline
GH
? Figures not necessarily drawn to scale.
D
E
F
G
H
I
6
6
6

Answer 1

3

Reason: G and H are midpoints of two sides of triangle DEF, so segment GH is a midsegment. A midsegment is parallel to the third side and has length half the third side. The third side (DF) has length 6, so GH = 6/2 = 3.