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What is the area of triangle ABC?

What is the area of triangle ABC?-example-1
User SimonDos
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1 Answer

7 votes

Answer:

c) 36√3 square units

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

User OliverQ
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