SOLUTION: A right triangle's height is 3 times the length of its base. If the area of the triangle is 54, what is the height?

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Question 788633: A right triangle's height is 3 times the length of its base. If the area of the triangle is 54, what is the height?
Answer by waynest(281) About Me  (Show Source):
You can put this solution on YOUR website!
height = 3x
base = x
Area = 54
1/2bh
1/2(3x)x = 54
1/2(3x^2) = 54
2(1/2)3x^2 = 2(54)
3x^2 = 108
3x^2/3 = 108/3
x^2 = 36
sqrtX^2 = sqrt36
x = 6
check:
1/2(3(6))6
1/2(108 = 54
54 = 54