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.

Algebra ->  Trigonometry-basics -> 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.      Log On


   

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(52898) About Me  (Show Source):
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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 (!)