SOLUTION: Sharks' teeth are shaped like triangles. the height of a tooth of a certain shark is 1 cm longer than the base. the area is 36cm^2. find the height and the base.

Question 645282: Sharks' teeth are shaped like triangles. the height of a tooth of a certain shark is 1 cm longer than the base. the area is 36cm^2. find the height and the base.
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
Area of a Triangle is equal to (1/2)base*height
so let's plug in what we know: (note: represent base as x)
36=(1/2)(x)(x+1)
Expand:
36=1/2x^2+1/2x
Multiply by 2 and subtract 72:
x^2+x-72=0
Factor this:
(x-8)(x+9)=0
x=8
x=-0
So the base is 8 cm and
height is 9 cm
Make sense?
RJ
www.math-unlock.com
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