SOLUTION: Find the area of an equilateral triangle in which the height is 3 square root of 3.

Question 144664: Find the area of an equilateral triangle in which the height is 3 square root of 3.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
What you have is a right triangle with the height(3sqrt3) the other side (x) & the hypotenuse (2x)
a^2+b^2=c^2
x^2+(3sqrt3)^2=(2x)^2
x^2+9*3=4x^2
x^2+27-4x^2=0
-3x^2=-27
x^2=-27/-3
x^2=9
x=sqrt9
x=3 for the short side.
2*3=6 for the hypotenuse.
area=3*3sqrt3
area=9*1,732
area=15.59 answer.
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