SOLUTION: The length of one leg of a right triangle is 8 ft. The length of the hypotenuse is 4 feet longer than the other leg. Find the length of the hypotenuse and the other leg

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Question 1040925: The length of one leg of a right triangle is 8 ft. The length of the hypotenuse is 4 feet longer than the other leg. Find the length of the hypotenuse and the other leg
Answer by ikleyn(52778) About Me  (Show Source):
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The length of one leg of a right triangle is 8 ft. The length of the hypotenuse is 4 feet longer than the other leg.
Find the length of the hypotenuse and the other leg
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8%5E2+%2B+x%5E2 = %28x%2B4%29%5E2   is the Pythagorean equation in this case.

64+%2B+x%5E2 = x%5E2+%2B+8x+%2B+16,

64 - 16 = 8x,

8x = 48,

x = 6 cm.

Answer.  The legs are 8 and 6 cm. The hypotenuse is 10 cm. (Classic (3-4-5) triangle)