# A triangle has sides A, B, and C. Sides A and B are of lengths 7 and 8, respectively, and the angle between A and B is pi/6. What is the length of side C?

Dec 30, 2015

The length of side C is equal to 9.78

#### Explanation:

To solve for side c, you can use the cosine law. Draw a figure then if the figure is properly labeled you'll be able to use cosine law using:

${c}^{2} = {a}^{2} + {b}^{2} - 2 \left(a\right) \left(c\right) \cos C$
where a,b and c are the sides of the triangle and C is the angle between A and B.

Substitute the data given and you'll get the result of 9.78