SOLUTION: what is the area of a triangle if one leg is 2 root 3 ft. and the hypotenuse is 4 ft.

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Question 768487: what is the area of a triangle if one leg is 2 root 3 ft. and the hypotenuse is 4 ft.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the area of a triangle if one leg is 2 root 3 ft.
and the hypotenuse is 4 ft.
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Draw the triangle ; label the base 2sqrt(3) ft ;
label the hypotenuse 4 ft.
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Solve for the height::
height = sqrt(4^2-(2sqrt(3))^2)
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height = sqrt(16-12)
height = 2 ft
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Area = (1/2)base*height = (1/2)(2sqrt(3))(2) = 2sqrt(3) sq.ft.
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Cheers,
Stan H.
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