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

Question

asked Apr 4, 2021 8.3k views

1 Answer

Saad Rehman Shah · Answer 1 · 2021-04-08T15:20:18+0000

Answer:

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

Explanation:

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

Side opposite to 30° is half of hypotenuse and side opposite to 60° is
$(\sqrt 3)/(2)$ times of hypotenuse.

In the given figure:

side s is opposite to 30° angle.

$\therefore s = (1)/(2) * 10= 5\\$

side q is opposite to 60° angle.

$\therefore q =(\sqrt 3)/(2) * 10= 5\sqrt 3\\$