CPM Homework Help : INT3 Problem 2-40

In the diagram at right, $ΔABC∼ΔAED$ .

Solve for $x$ .
Step (a):
The sides of the triangle are proportional. Write an equation and solve for $x$ .
Answer (a):
Because distance cannot be negative, $x=8$ , not $x=−5$ .
Calculate the perimeter of $ΔAED$ .
Hint (b):
Use your results from part (a) and the Pythagorean Theorem to determine the length of the hypotenuse.

A right triangle, A,D,E, has horizontal side, A D, labeled 10, and vertical side, E D, labeled, x, The horizontal side is extended, past the right angle, creating, a horizontal leg, A C, labeled, x + 7, of a larger right triangle, A B C, with vertical leg, B C, labeled, x + 4.