# A triangle has two corners with angles of # pi / 4 # and # pi / 4 #. If one side of the triangle has a length of #16 #, what is the largest possible area of the triangle?

##### 1 Answer

128

#### Explanation:

The angles of a triangle have to sum up to

One of the sides of the triangle has a length of

Since our largest triangle has the largest area, we know that the first set is what we're looking for.

Since this is a right triangle with legs 16 and 16, the area is