SOLUTION: The area of a right triangle is 12 square inches. The ratio of the lengths of its legs is 2:3. Find the hypotenuse.
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Question 836509: The area of a right triangle is 12 square inches. The ratio of the lengths of its legs is 2:3. Find the hypotenuse.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Suppose the legs have length 2x and 3x. Its area is 3x^2 = 12, so x = 2 and the leg lengths are 4 and 6. By Pythagorean theorem, the hypotenuse has length sqrt(4^2 + 6^2) = sqrt(52) = 2sqrt(13).
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