Question

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

Answer 1

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\\`