### Home > CAAC > Chapter 14 > Lesson 14.2.1.4 > Problem 2-48

2-48.

In the diagram below,

*∆ABC*~*∆AED*. Homework Help ✎

Solve for

*x*.Find the perimeter of

*∆ADE*.

The sides of the triangle are proportional. Write an equation and solve for *x*.

Because distance cannot be negative, *x* = 8, not *x* = −5.

Use your results from part (a) and the Pythagorean Theorem to determine the length of the hypotenuse.