# A triangle has two corners with angles of # pi / 4 # and # pi / 3 #. If one side of the triangle has a length of #8 #, what is the largest possible area of the triangle?

##### 1 Answer

Jun 26, 2016

21.85252

#### Explanation:

Given for

We know that sum of the 3 angles of a triangle is

As the angles

To get the largest possible area of the triangle with any one side with 8, we must have the shortest side as 8.

Then b must be 8

Using the law of Sines,

a =

c=

Area of the triangle =

= *8*

= 21.85252