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 =
=
= 21.85252