Question

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answer options:

2

2√3

4√3

8√3

Answer 1

2√3

Explanation:

Our focus is going to be on Triangle CDB,

BC = 4

∠DBC = 60°

Using SOH CAH TOA, we have;

Sine 60° = opposite / Hypotenus

√3/2 = CD / 4

4 * √3/2 = CD

CD = 2 * √3

CD = 2√3