Question

Find x

A. 3√3
B. 6√3
C. 2√3 over 3
D. 3

Answer 1

A, 3 root 3

Explanation:

The triangle is a 30-60-90 Triangle meaning that the shortest side can be multiplied by 2 to get the hypotenuse or the slanted/longest side.

The second longest side of this triangle will always be the shortest side times root 3. Use the chart as a reference.

Answer 2

3√3

Explanation:

Angle ratio = 30 : 60 : 90

Side ratio = a : a√3 = 2a

Side opposite to 90° = 2a

2a = 6

a = 6/2

a = 3

Side opposite to 60° = a√3

x = a√3 =3√3