## anonymous 4 years ago The hypotenuse of a right triangle is 12 centimeters, and the shorter leg is 6 centimeters. Find the length of the other leg.

1. Mertsj

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2. LollyLau

let remaining leg = x cm. 12^2=6^2+x^2

3. LollyLau

144=36+x^2 x^2=108 x=sqrt(108)

4. LollyLau

using pythagoras theorem again.

5. Mertsj

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6. anonymous

$perpendicular ^{2}+base ^{2}=hypotenuse ^{2}$ $12^{2}-6^{2}=p ^{2}$ $p=\sqrt{144-36}$ $p=\sqrt{108}$