SOLUTION: One side of a triangle is 9. If the other side is 3 less than the hypotenuse, find the missing side and hypotenuse. Thank you

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Question 755615: One side of a triangle is 9. If the other side is 3 less than the hypotenuse, find the missing side and hypotenuse.
Thank you
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
One side of a triangle is 9. If the other side is 3 less than the hypotenuse, find the missing side and hypotenuse.
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A:
Let x = hypotenuse
so x - 3 = missing side
Using Pythagorean Theorem:
%28x+-+3%29%5E2+%2B+9%5E2 = x%5E2
x%5E2+-+6x+%2B+90 = x%5E2
-6x + 90 = 0
x = 15
x - 3 = 12
The hypotenuse is highlight%2815%29 and the missing side is highlight%2812%29