Two corners of a triangle have angles of #(3 pi ) / 8 # and # pi / 6 #. If one side of the triangle has a length of #3 #, what is the longest possible perimeter of the triangle?
2 Answers
May 25, 2016
Explanation:
We will using the triangle sine law.
Given a triangle with angles
Here
The three possibilities are
So the maximum perimeter is given by
May 25, 2016
Just a comment clarifying approach: Find the shortest length of side and then assign the length of 3 to that side. The max perimeter will then occur.