# geometry

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the area of a right triangle is 12 in ^2. the ratio of the lengths of its legs is 2/3. find the hypotenuse.

• geometry -

(1/2)*3a^2/2 = 12

Solve for a, the short side length

a^2 + (3a/2)^2 = c^2

Solve for c, the hypotenuse.

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