Question

In the 30-60-90 triangle below, side shas a length of

length of
and side has a
301
909
O A. 412,42
OB. 8-/5, 16
O C. 165, 16V
D. 16 5,5
O E. 4,4V
O F. A, B13

Answer 1

`s = 4, \: q = 4 √(3)`

Explanation:

In a 30°-60°-90° triangle, measure of side opposite to 30° angle is half of hypotenuse.

`s = (1)/(2) * 8 \\ \\ s = 8`

In a 30°-60°-90° triangle, measure of side opposite to 60° angle is
`(\sqrt 3)/(2)` times of hypotenuse.

`q = ( √(3) )/(2) * 8 \\ \\ q = 4 √(3)`