SOLUTION: A right triangle has a height of 9 yards and a hypotenuse of 12 yards, what is its area?
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Question 638022
:
A right triangle has a height of 9 yards and a hypotenuse of 12 yards, what is its area?
Answer by
jim_thompson5910(35256)
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The missing leg is sqrt(12^2 - 9^2) = sqrt(144-81) = sqrt(63) = 3*sqrt(7), which is the base.
So the exact area is
A = (b*h)/2
A = (3*sqrt(7)*9)/2
A = (27*sqrt(7))/2
which approximates to
A = 35.717642699 square yards.