Question

Find the area of the triangle.

Answer 1

10.5 cm^2

Explanation:

Since we have two sides and the angle between those sides, we can use the alternative area formula:

`A=(1)/(2)ab\sin(C)`

a and b are the two sides while C is the angle in between the two sides.

Plug in the numbers:

`A=(1)/(2)(7)(6)\sin(150)`

Recall the unit circle. Sin(150) is 1/2.

`A=21((1)/(2))`

`A=21/2=10.5cm^2`