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7 February, 15:29

What is the length of the side of a right triangle that has a side length of 12 ft and hypotenuse that measures 15 ft

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  1. 7 February, 15:30
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    9 ft

    Step-by-step explanation:

    The Pythagorean theorem states

    a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

    Substituting in what we know (one leg is 12 and the hypotenuse is 15)

    12^2 + b^2 = 15^2

    144 + b^2 = 225

    Subtract 144 from each side

    144-144 + b^2 = 225-144

    b^2 = 81

    Take the square root of each side

    sqrt (b^2) = sqrt (81)

    b = 9
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