SOLUTION: Give an exact answer and, where appropriate, an approximation to three decimal places. A right triangle's hypotenuse is 8m and one leg is 4{{{sqrt(3)}}}m. Find the length of the

Algebra ->  Pythagorean-theorem -> SOLUTION: Give an exact answer and, where appropriate, an approximation to three decimal places. A right triangle's hypotenuse is 8m and one leg is 4{{{sqrt(3)}}}m. Find the length of the      Log On


   



Question 743311: Give an exact answer and, where appropriate, an approximation to three decimal places.
A right triangle's hypotenuse is 8m and one leg is 4sqrt%283%29m. Find the length of the other leg.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Give an exact answer and, where appropriate, an approximation to three decimal places.
A right triangle's hypotenuse is 8m and one leg is 4sqrt%283%29m. Find the length of the other leg.
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hypo^2 = leg^2 + leg^2
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(8m)^2 = [4sqrt(3)m]^2 + leg^2
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64m^2 = 16*3*m^2 + leg^2
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16m^2 = leg^2
leg = 4m
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Cheers,
Stan H.