CPM Homework Help : GC Problem 12-19

In the triangle at right, $\overline{DE}$ is a midsegment of $ΔABC$ and $\overline{FG}$ is a midsegment of $ΔADE$ . If $DE = 7$ cm, find $FG$ and $BC$ .

Hint:

$ΔADE\simΔABC$

More Help:

Since $D$ is the midpoint of $\overline{AB}$ , $2 ·DB = AB$ .

Answer:

$FG = 3.5$ cm
$BC = 14$ cm

A triangle A, B, C with a midpoint D on A, B, and a midpoint E on A, C creating triangle A, d, E. F is the midpoint of A, D, and G is the midpoint on A, E creating triangle A, G, F.