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