Question

question 17 of 33
in the triangle below, what is the length of the hypotenuse?
3
60°
30°
a. 3√2
b. 3√3
c. √3
d. 6

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 $2a$.

Step2: Identify the side opposite 30°

The side given is opposite the 30° angle and has length 3. Let $a = 3$.

Step3: Calculate the hypotenuse

Using the ratio, the hypotenuse $c=2a$. Substituting $a = 3$, we get $c = 2\times3=6$.

Answer:

D. 6