# geometry

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Given the hypotenuse of a right triangle is 600, and the length of all three sides is 1400, what are the lengths of the legs?

• geometry -

x^2 + y^2 = 360000
x+y+600 = 1400
x+y = 800

x^2 + (800-x)^2 = 36000
x^2 - 800x + 140000 = 0
x and y are 258.6 and 541.4

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