SOLUTION: One leg of a right triangle is 7cm shorter than the other leg. How long should the shorter leg be to ensure that the hypotenuse is at least 13cm?

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Question 1168238: One leg of a right triangle is 7cm shorter than the other leg. How long should the shorter leg be to ensure that the hypotenuse is at least 13cm?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be the shorter leg. Then:

+x%5E2+%2B+%28x%2B7%29%5E2++%3E=+13%5E2+


Eventually this simplfies to:

+%282x-10%29%28x%2B12%29+%3E=+0+

which has the positive solution +x%3E=5cm+