# If sides A and B of a triangle have lengths of 2 and 4 respectively, and the angle between them is #(pi)/4#, then what is the area of the triangle?

##### 1 Answer

#### Explanation:

One way to do this is strictly geometrical.

Consider the square containing the given triangle with the side of length

We would have the structure below:

We are asked for the area of

and it is clearly

With a diagonal of length

Therefore the area of the

The area of

The area of

The area of