Two corners of a triangle have angles of #pi / 3 # and # pi / 2 #. If one side of the triangle has a length of #7 #, what is the longest possible perimeter of the triangle?
1 Answer
May 12, 2016
Longest possible perimeter is
Explanation:
As two angles are
This is the least angle and hence side opposite this is smallest.
As we have to find longest possible perimeter, whose one side is
Hence using sine formula
or
Hence
Hence, longest possible perimeter is