CPM Homework Help : CCG Problem 9-33

Triangle A, B, C with point, D, on side, A B, & point, E, on side, A C, with segment from, D, to, e. In the diagram at right, $\overline{DE}$ is a midsegment of $ΔABC$ . If the area of $ΔABC$ is $96$ square units, what is the area of $ΔADE$ ? Explain how you know.

Hint:

$ΔADE\simΔABC$

More Help:

What is the linear scale factor?
What is the ratio of the areas?

Answer:

$24$ square units.