SOLUTION: the height of a triangle is three times the base. the area of the triangle is 96. find the height of the triangel.

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Question 408427: the height of a triangle is three times the base. the area of the triangle is 96. find the height of the triangel.
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
We know the formula for the area of a triangle is equal to 1/2(B*H)
Let's have x represent the base and 3x be the height. Now plug it in to get:
96=1/2(x)(3x)
Combine this:
96=1.5x^2
Divide by 1.5 to get:
64=x^2
Square root both sides to get:
x=8
So we know that the height is 24.
Make sense?
RJ
www.math-unlock.com