Two corners of a triangle have angles of #(7 pi ) / 12 # and # pi / 6 #. If one side of the triangle has a length of #6 #, what is the longest possible perimeter of the triangle?
1 Answer
Jul 8, 2017
THe longest perimeter is
Explanation:
Let
So,
The smallest angle of the triangle is
In order to get the longest perimeter, the side of length
is
We apply the sine rule to the triangle
The perimeter of triangle