# A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #8#, respectively, and the angle between A and B is #pi/4#. What is the length of side C?

##### 1 Answer

Jan 7, 2016

#### Answer:

C =

#### Explanation:

Note that

Let

As

Thus it follows that

Thus

By Pythagoras:

Whilst 82 is not prime it is a product of prime numbers. As far as I am aware the only way of showing the precise value of C is to express it in this form.

Thus C =