SOLUTION: the area of a triangle is 27 square feet. Its height is three time the length of its base. Find the height and base of the triangle I tried 27=1/2b + 3b but couldn't get it to

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Question 340835: the area of a triangle is 27 square feet. Its height is three time the length of its base. Find the height and base of the triangle
I tried 27=1/2b + 3b but couldn't get it to work out. Can you please explain.

Answer by mananth(16949)   (Show Source): You can put this solution on YOUR website!
let base be x
height = 3x
area = 1/2 * base* height
area = 1/2 * x*3x
Area = 3x^2/2= 27
3x^2= 54
x^2= 54/3
x^2= 18
x= sqrt 18
x= sqrt (3*3*2)
x= 3sqrt2 the base
height = 3 * 3sqrt2
height = 9 sqrt2

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