Question

Find the area of the triangle.

Answer 1

Answer:

10.5 cm^2

Step-by-step explanation:

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

$A=\frac{1}{2}ab\sin(C)$

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

Plug in the numbers:

$A=\frac{1}{2}(7)(6)\sin(150)$

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

$A=21(\frac{1}{2})$

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