SOLUTION: The shorter leg of a right triangle is 7m shorter than the longer leg. The hypotenuse is 7m longer than the longer leg. Find the side lengths of the triangle.

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Question 1112263: The shorter leg of a right triangle is 7m shorter than the longer leg. The hypotenuse is 7m longer than the longer leg. Find the side lengths of the triangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y, longer leg
y-7, shorter leg
y+7, hypotenuse

y%5E2%2B%28y-7%29%5E2=%28y%2B7%29%5E2
Simplify and solve.
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Two possible first steps:
y%5E2%2By%5E2-14y%2B49=y%5E2%2B14y%2B49
y%5E2-28y=0
highlight_green%28y=28%29-------longerleg