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What is the measure of longer leg of a 30°-60-90° triangle whose hypotenuse is 4 cm long?
A. 2√3 cm
B. 4√3 cm
C. 6√3 cm
D. 8√3 cm
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This is a 30-60-90 triangle in which the side lengths are in the ratio of x: x√3:2x. Substitute x = 7m for the longer leg and the hypotenuse. In a right triangle, the hypotenuse is 12 cm, and the smaller angle is 30 degrees.
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