SOLUTION: if the length of the hypotenuse of a 30, 60, 90 triangle is 4x, which expression represents the area of the triangle?

SOLUTION: if the length of the hypotenuse of a 30, 60, 90 triangle is 4x, which expression represents the area of the triangle?

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Question 294588: if the length of the hypotenuse of a 30, 60, 90 triangle is 4x, which expression represents the area of the triangle?

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
If the hypotenuse is 4x the shorter leg is 2x and the longer leg is 2x*sqrt(3).
The area is 1/2*2x*2x*sqrt(3)
=2x^2*sqrt(3)
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