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2-48.
  1. In the diagram below, ∆ABC ~ ∆AED. Homework Help ✎

    1. Solve for x.

    2. 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.