SOLUTION: the height of a triangle is twice the base. the area is 9 square inches. find the base.

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Question 263227: the height of a triangle is twice the base. the area is 9 square inches. find the base.
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's establish x to represent the base. We know the formula for the area of a triangle is: A=1/2BH So now let's plug in the values.
9=1/2(x)(2x) Simplify this to be:
9=1/2(2x^2) The 1/2 and 2 turn to 1 so we have:
9=x^2 Square root both sides to get:
x=plus and minus 3
Minus 3 doesn't work so it's 3 inches for the base.
Got it?
RJ
Check out a book I wrote at:
www.math-unlock.com