Question

question 7 of 25 in the 30 - 60 - 90 triangle below, side s has a length of __ and side q has a length of __. a. 5\sqrt{2};5\sqrt{2} b. 5,5\sqrt{3} c. 20\sqrt{3},5 d. 5,10\sqrt{3} e. 10\sqrt{3},20 f. 10\sqrt{3};10\sqrt{3}

Explanation:

Step1: Recall 30 - 60 - 90 ratio

In a 30 - 60 - 90 triangle, if the hypotenuse $c = 10$, the side opposite the 30 - degree angle $s=\frac{c}{2}$.
$s=\frac{10}{2}=5$.

Step2: Find side opposite 60 - degree angle

The side opposite the 60 - degree angle $q = s\sqrt{3}=5\sqrt{3}$.

Answer:

B. 5,5$\sqrt{3}$