CPM Homework Help : INT3 Problem 1-93

Consider triangles $ABC$ and $ADE$ below. Give a convincing argument that $ΔABC\simΔADE$ . Then use what you know about similar triangles to complete each of the following ratios for the triangles shown below.

Right triangle, A, C, B, has horizontal leg, A, C, labeled, x, and vertical leg, C, b, labeled, y. The horizontal leg is extended, past the right angle, creating a larger right triangle, A, E, D, with horizontal leg, A, E, labeled, m, and vertical leg, E, d, labeled, n.

$\frac { y } { x } = \frac { ? } { ? }$
Hint (a):
Notice that $y$ and $x$ are the longer and shorter legs of $ΔABC$ .
More Help (a):
Remember that $ΔABC$ and $ΔADE$ are similar, which means their sides are proportional.
Answer (a):
$\frac{y}{x}=\frac{n}{m}$

$\frac { n } { y } = \frac { ? } { ? }$
Hint (b):
Notice that both $n$ and $y$ are the short legs in both triangles.