In a right triangle the cosine of an acute angle is 1/2 and the hypotenuse measures 7 inches. What is the length of the shortest side of the triangle?

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(1) Answers

Varela285

If the cosine is 1/2, and the angle is acute, then the angle is 60 degrees. Using the rules for a 30-60-90 right triangle, hyp=2 times the short leg. So 7/2= 3.5.