Question

In the triarngle below, what is the length of the side opposite the 60 angle?

\243
OA. 3
O B. 6
O D. 243

Answer 1

A. 3

Explanation:

Let the length of the opposite side be x.

Hypotenuse = 2√3

Using the trigonometric ratios formula, we have:

`sin(60) = (x)/(2√(3))`

`(√(3))/(2) = (x)/(2√(3))`

Multiply both sides by 2√3

`(√(3))/(2) * 2√(3) = x`

`(√(3) * 2√(3))/(2) = x`

`√(3) * √(3) = x`

3 = x

x = 3