Question 755615
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:
{{{(x - 3)^2 + 9^2}}} = {{{x^2}}}
{{{x^2 - 6x + 90}}} = {{{x^2}}}
-6x + 90 = 0
x = 15
x - 3 = 12
The hypotenuse is {{{highlight(15)}}} and the missing side is {{{highlight(12)}}}