Question

What is the length of x in the given triangle shown at right?

30°
Your answer:
o 33
O
6
O 12
o 12V3
Clear answer

Answer 1

Answer: C. 12

Explanation:

This is a 30-60-90 triangle. The short leg is always opposite the 30 degree angle. The long leg is opposite the 60 degree angle.

For these types of special triangles, we can say

`\text{long leg} = (\text{short leg})*√(3)`

Based on that formula, and the fact that the long leg is
`6√(3)`, this means the short leg must be 6 units long.

For any 30-60-90 triangle, the hypotenuse is twice as long as the short leg

`\text{hypotenuse} = 2*(\text{short leg})`

So the hypotenuse is 2*6 = 12 units long