Question

question 4 of 10
in the 30 - 60 - 90 triangle below, side s has a length of
and the hypotenuse has a length of
a. 1; 1.7
b. $sqrt{3}$; 2
c. 1; $sqrt{3}$
d. $sqrt{2}$; 2
e. 2; 1.4
f. 1; $sqrt{2}$

Explanation:

Step1: Recall 30 - 60 - 90 ratio

In a 30 - 60 - 90 triangle, if the shorter leg (opposite 30°) is $a = 1$, the longer leg (opposite 60°) $s=a\sqrt{3}=\sqrt{3}$, and the hypotenuse $h = 2a=2$.

Answer:

B. $\sqrt{3};2$