# SOLUTION: hi. if my hypotenuse is 600, and the perimeter of the entire triangle is 1400, how long is the two other sides?

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 Geometry: Pythagorean theorem Solvers Lessons Answers archive Quiz In Depth

 Question 390664: hi. if my hypotenuse is 600, and the perimeter of the entire triangle is 1400, how long is the two other sides? Answer by robertb(4012)   (Show Source): You can put this solution on YOUR website!From the Pythagorean theorem, . From the perimeter condition, x + y + 600 = 1400, or y = 800 - x. Substitute this into the 1st equation, to get , <==> , <==> . Using the quadratic formula, we get . If , then . If , then . Hence there is only 1 pair of values for the legs, and those are and .