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jmc

geometry intermediate

Problem

One leg of a right triangle is 12 inches, and the measure of the angle opposite that leg is . What is the number of inches in the hypotenuse of the triangle?
Solution
A right triangle with a angle is a 30-60-90 triangle. In such a triangle, the hypotenuse has twice the length of the leg opposite the angle, so the hypotenuse of the triangle in the problem has length inches.
Final answer
24