Question

question 17 of 25
in the 30 - 60 - 90 triangle below, side s has a length of __ and side q has a length of __.
a. $4sqrt{2},4sqrt{2}$
b. $4,8sqrt{3}$
c. $16sqrt{3},16sqrt{3}$
d. $8sqrt{3},16$
e. $4,4sqrt{3}$
f. $16sqrt{3},5$

Explanation:

Step1: Identify hypotenuse

Hypotenuse = 8 (opposite 90°).

Step2: Find x (30° opposite side)

In 30-60-90 triangle, hypotenuse = 2x. So 2x=8 → x=4.

Step3: Determine s and q

s (opposite 30°)=x=4; q (opposite 60°)=x√3=4√3.

Answer:

E. 4, 4√3