Two corners of a triangle have angles of # (5 pi )/ 8 # and # ( pi ) / 3 #. If one side of the triangle has a length of # 9 #, what is the longest possible perimeter of the triangle?
1 Answer
Dec 5, 2017
Longest possible perimeter
Explanation:
Sum of the angles of a triangle
Two angles are
Hence
We know
To get the longest perimeter, length 9 must be opposite to angle
#b = (9 sin((5pi)/8))/sin (pi/24) = 63.7030
Hence perimeter