SOLUTION: the hypotenuse of a right triangle is m more than twice the shortest side . If the third side is meter less than the hypotenuse , find the sides of triangle.

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Question 1105434: the hypotenuse of a right triangle is m more than twice the shortest side . If the third side is meter less than the hypotenuse , find the sides of triangle.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Not sure if you are missing information about your "third side" or not.

Sides are these:
x, shortest side,
m+2x, hypotenuse
(m+2x)-1, third side, "meter less than the hypotenuse"

Right triangle, Pythagorean Theorem, because one of the sides is a "hypotenuse".
x%5E2%2B%282x%2Bm-1%29%5E2=%282x%2Bm%29%5E2
Two unknown variables but just one single equation.

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x%5E2%2B%282x%2Bm%29%5E2-4x-2m%2B1=4x%5E2%2B4mx%2Bm%5E2
x%5E2%2B4x%5E2%2B4mx%2Bm%5E2-4x-2m%2B1=4x%5E2%2B4mx%2Bm%5E2
x%5E2-4x-2m%2B1=0
Still one equation in two unknown variables. Maybe use of discriminant may give some more information possible about m ?