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In the diagram at right, .

  1. Solve for .

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

    Because distance cannot be negative, , not .

  2. Calculate the perimeter of .

    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.