Question

In the 40-60-90 triangle below, side s has a length of ___ and side q has a length of __​

Answer 1

Answer:

D. $5,\: 5\sqrt 3$

Step-by-step explanation:

According to the 30°-60°-90° triangle theorem:

Side opposite to 30° is half of hypotenuse and side opposite to 60° is $\frac{\sqrt 3}{2}$ times of hypotenuse.

In the given figure:

side s is opposite to 30° angle.

$\therefore s = \frac{1}{2} \times 10= 5$

side q is opposite to 60° angle.

$\therefore q =\frac{\sqrt 3}{2} \times 10= 5\sqrt 3$