Question

in the triangle below, what is the length of the side opposite the 60° angle? 60° 3 30° a. 3√3 b. 3√2 c. 6 d. √3

Explanation:

Step1: Recall 30 - 60 - 90 triangle ratio

In a 30 - 60 - 90 triangle, if the side opposite the 30° angle is $a$, the side opposite the 60° angle is $a\sqrt{3}$, and the hypotenuse is $2a$. Here, the side opposite the 30° angle is 3.

Step2: Calculate side length

Since the side opposite the 30° angle $a = 3$, the side opposite the 60° angle is $3\sqrt{3}$.

Answer:

A. $3\sqrt{3}$