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. In a 30°-60°-90° triangle, the length of the hypotenuse is 12 inches. What is the length, in inches, of the side opposite the 60° angle?

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The sides of a 30-60-90 triangle are always in the ratio 1:√3:2, respectively.

The side opposite the 90° is 12 inches, so the side opposite the 30° angle is 6 inches, and the side opposite the 60° angle is 6√3 inches.

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