Find the length of the leg of the right triangle leave your answer in simplest form?

a =12*sqrt(2)

Step-by-step explanation:

3.  The Pythagorean theorem states

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

a^2 +21^2 = 27^2

a^2 +441 =729

Subtract 441 from each side

a^2 +441-441 = 729 -441

a^2 =288

Take the square root of each side

sqrt(a^2) = sqrt(288)

sqrt(xy) = sqrt(x)sqrt(y)

a = sqrt(144)sqrt(2)

a =12*sqrt(2)

step-by-step explanation:

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