SOLUTION: Please help me solve this. Opposite side of a triangle = {{{ sqrt(96) }}} adjacent side is 2x, hypotenuse is 6x. What is x and how do I work this through? Thank you very much.

Question 845996: Please help me solve this. Opposite side of a triangle = adjacent side is 2x, hypotenuse is 6x. What is x and how do I work this through? Thank you very much.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Opposite side of a triangle = adjacent side is 2x, hypotenuse is 6x. What is x and how do I work this through?
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Assuming the triangle is a right triangle,
use Pythagoras to solve for "x":
(6x)^2 = (sqrt(96))^2 + (2x)^2
--------
36x^2 - 4x^2 = 96
32x^2 = 96
x^2 = 3
x = sqrt(3)
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Cheers,
Stan H.
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