Question

select the correct answer. the shortest side of a right triangle measures $3\sqrt{3}$ inches. one angle of the triangle measures $60^\circ$. what is the length, in inches, of the hypotenuse of the triangle? a. 3 b. 6 c. $6\sqrt{2}$ d. $6\sqrt{3}$

Explanation:

Step1: Identify angles of right triangle

The right triangle has angles 90°, 60°, so third angle is 30°.

Step2: Relate shortest side to hypotenuse

In 30-60-90 triangle, shortest side (opposite 30°) = $\frac{1}{2}$ hypotenuse.

Step3: Calculate hypotenuse

Shortest side = 3, so hypotenuse = $2 \times 3 = 6$.

Answer:

B. 6