Two corners of a triangle have angles of # (5 pi )/ 8 # and # ( pi ) / 3 #. If one side of the triangle has a length of # 4 #, what is the longest possible perimeter of the triangle?
1 Answer
Nov 10, 2016
The longest possible perimeter is,
Explanation:
Let
Let
Then
Associate the given side with the smallest angle, because that will lead to the longest perimeter:
Let side a = 4
Use the law of sines to compute the other two sides:
The longest possible perimeter is,