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13 June, 20:02

Using the pythagorean theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long

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  1. 13 June, 20:16
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    Phthagorean theorme is

    a^2+b^2=c^2

    where you have a right triangle and c = hypotonuse (normally the longest side, and opposite of right angle)

    a and b are the legs

    so we are given

    one leg=8

    hypotonues=10

    subsitute

    leg=a or b so just subsitute for one

    subsitutt for b

    a^2+8^2=10^2

    expand

    8^2=64

    10^2=100

    a^2+64=100

    subtract 64 from both sides

    a^2=36

    square root both sides

    a=6

    answe ris 6 feet
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