CPM Homework Help : INT3 Problem 7-70

What is the area of the triangle at right? Show all work.

Hint 1:

How can you divide this triangle so that you can find the height? Place the height in your diagram.

Hint 2:

By drawing the height, a $30^\circ-60^\circ-90^\circ$ triangle with a hypotenuse of $12$ is created. What is the height?

A triangle with two side lengths 12 and 24 and one angle of 30 degrees between the two side lengths.