In a right triangle whose area is 12, each leg is as long as the side of a certain square. what is the area of the square? a. 12 b. 24 c. 48 d. 144

Since the legs are as long as the side of a single square, the legs are congruent.

A = bh/2, but b = h, so

A = b^2/2

b^2/2 = A

b^2/2 = 12

b^2 = 24

b = sqrt(24)

The legs of the right triangle have length sqrt(24).

A = s^2 = (sqrt(24))^2 = 24

The area of the square is 24.

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