# Two corners of a triangle have angles of # (3 pi )/ 8 # and # ( pi ) / 2 #. If one side of the triangle has a length of # 4 #, what is the longest possible perimeter of the triangle?

##### 1 Answer

#### Answer:

#### Explanation:

Let in

For maximum perimeter of triangle , we must consider the given side of length

Now, using Sine rule in

hence, the maximum possible perimeter of the