Question

Calculate the area and leave your answer in term of pie

Answer 1

Answer:
`2.25√(3)`

Not sure what you mean by terms of pi, unless you want us to find the area of the sector, not the triangle.

Explanation:

Assuming you mean the area of the triangle...

First draw an altitude from the 120 degree angle to the opposite base. You will find that the altitude will also be a median. This forms 2 30-60-90 right triangles. Thus, the height of the altitude is 1.5 and the base of the triangle is 1.5*root3. Thus, the base of the triangle is
`3√(3)` and the height is 1.5. Thus, the area of the triangle is
`2.25√(3)`