Two corners of a triangle have angles of # (5 pi )/ 8 # and # ( pi ) / 12 #. If one side of the triangle has a length of # 3 #, what is the longest possible perimeter of the triangle?
1 Answer
Oct 15, 2016
The maximum perimeter is 22.9
Explanation:
The maximum perimeter is achieved, when you associate the given side with the smallest angle.
Calculate the third angle:
Let angle
Let angle
Let angle
Using the law of sines:
The length of side b:
The length of side c:
P = 3 + 9.2 + 10.7 = 22.9