Question

question 8 of 25

in the triangle below, what is the length of the side opposite the \\(60^\circ\\) angle?

a. \\(3\sqrt{3}\\)
b. \\(2\sqrt{3}\\)
c. \\(6\\)
d. \\(\sqrt{3}\\)

Explanation:

Identify the triangle type

Using the 30-60-90 Triangle Properties knowledge point

$$ \text{The triangle is a } 30^\circ\text{-}60^\circ\text{-}90^\circ \text{ right triangle.} $$

Relate the side lengths

Using the 30-60-90 Triangle Properties knowledge point

$$
LATEXBLOCK0
$$

Calculate the target length

Using the 30-60-90 Triangle Properties knowledge point

$$ \text{Long leg} = 3\sqrt{3} $$

Answer:

• (A) \(3\sqrt{3}\) (Correct answer)
• (B) \(2\sqrt{3}\)
• (C) 6
• (D) \(\sqrt{3}\)