What is the area of triangle ABC?
![What is the area of triangle ABC class=](https://us-static.z-dn.net/files/d9c/dc79760b34ef7c7105f41d8b5749e9a8.png)
Answer:
c) 36√3 square units
Step-by-step explanation:
Using trigonometry, you can find the height CD to be ...
CD = CB·sin(60°) = 12(√3/2) = 6√3
We know all three angles must be 60°, so all three sides must be the same length. That is, base AB = 12.
Then the area formula can be used.
A = 1/2bh . . . . . triangle with base b and height h
A = 1/2(AB)(CD)
A = 1/2(12)(6√3) = 36√3 . . . square units