A triangle has two corners with angles of # ( pi ) / 4 # and # ( 7 pi )/ 12 #. If one side of the triangle has a length of #8 #, what is the largest possible area of the triangle?
1 Answer
May 28, 2017
Explanation:
Find the third angle:
We will get the largest triangle, if we make the smallest angle be opposite the given side:
Let
Let
Let
Use the Law of Sines to find the length of side b:
The height is:
The Area is:
We let side a be the base: