SOLUTION: The hypotenuse of a right triangle is 13 cm. One of the legs is 7 cm longer than the other leg. Find the area of the triangle.

Algebra ->  Pythagorean-theorem -> SOLUTION: The hypotenuse of a right triangle is 13 cm. One of the legs is 7 cm longer than the other leg. Find the area of the triangle.      Log On


   



Question 326546: The hypotenuse of a right triangle is 13 cm. One of the legs is 7 cm longer than the other leg. Find the area of the triangle.
Answer by solver91311(24713) About Me  (Show Source):
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If the hypotenuse is 13 and the legs differ by 7, then the legs measure 5 and 12 (common Pythagorean triple). Use the Pythagorean Theorem to verify (left as an exercise for the student)

In a right triangle, the area is simply where and are the measures of the legs. Hence: .

Do your own arithmetic (Cowboy up and do it in your head).

John