SOLUTION: The longest side of a right-angled triangle is 31m. Fund the lengths of the other two sides given that one of these sides is 5m longer than the other side.

Question 1167248: The longest side of a right-angled triangle is 31m. Fund the lengths of the other two sides given that one of these sides is 5m longer than the other side.
Answer by ikleyn(52903)   (Show Source): You can put this solution on YOUR website!
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HINT.   The longest side of a right-angled triangle is the hypotenuse.

Let x is the shortest side (= the shortest leg).

Then the longer leg is (x+5) m.

All you need is to solve this quadratic equation

            x^2 + (x+5)^2 = 31^2.

Happy solving (!)

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