SOLUTION: a triangle has an area of 96 square inches and its height is two-thirds of its base. what are the base and height of the triangle?

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Question 914206: a triangle has an area of 96 square inches and its height is two-thirds of its base. what are the base and height of the triangle?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
a triangle has an area of 96in%5E2
=>b%2Ah%2F2=96in%5E2
height h is two-thirds of its base b
=>h=+%282%2F3%29b....substitute in
b%2Ah%2F2=96in%5E2
%28b%2A%282%2F3%29b%29%2F2=96in%5E2
b%5E2%2A%282%2F3%29=2%2A96in%5E2
b%5E2=2%2A96in%5E2%2F%282%2F3%29
b%5E2=cross%282%29%2A96in%5E2%2F%28cross%282%29%2F3%29
b%5E2=3%2A96in%5E2
b%5E2=288in%5E2
b=sqrt%28288in%5E2%29
b=16.97in%29 (rounded value)

=>+h=+%282%2F3%29b+=>+h=+%282%2F3%2916.97in+=> +h=11.31333in