A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/3# and the angle between sides B and C is #pi/6#. If side B has a length of 18, what is the area of the triangle?
1 Answer
The area of the triangle is
Explanation:
Let's call "c" the angle (
For it is a triangle,
Then
(Because of
In a right triangle it is valid the following statement:
Applying the aforementioned expression
Now, to the formula of the triangles area:
(Since the angle between sides A and C is
Then