Answer:
c = 12
Step-by-step explanation:
This is a special triangle, also known as the 30-60-90 triangle. See the help image attached for another special triangle known as the 45-45-90 triangle. 30-60-90 triangle has specific rules that we can apply to this problem:
- hypotenuse = 2x
- line opposite of 30° = x
- line opposite of 60° = x√3
With that being said....
c = 2x
6 = x
a = x√3
We know that x = 6, so now solve for a & c:
c = 2(6) = 12
a = 6√3
Hope this helps!
