Let x = the length of the longer leg.
x^2 + (x -5)^2 = (x + 5)^2
x^2 + x^2 - 10x + 25 = x^2 + 10x + 25
x^2 - 20x = 0x
(x - 20) = 0
x = 0.
x - 20 = 0x = 20
The longer leg is 20 mm, the shorter leg is 15 mm, and the hypotenuse is 25 mm.
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