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

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(5830) (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 .
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