Question

You may use a scientific calculator and your reference chart. Round angles to the nearest degree and side lengths to the nearest tenth.

What is the area of triangle ABC?

Answer 1

The answer is

`18√(3)`

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Explanation:

This triangle is equilateral

Then

`db = (1)/(2) ab = .5 * 12 = 6`

By using the phythgorth thearm you can find CD

`cd = \sqrt{ {ab}^(2) - {db}^(2) } \\ = √(144 - 36) = 6 √(3)`

Then the eara of triangle is

`(1)/(2) * 6 * 6 √(3) = 18 √(3)`