# Two corners of a triangle have angles of # ( pi )/ 3 # and # ( pi ) / 4 #. If one side of the triangle has a length of # 5 #, what is the longest possible perimeter of the triangle?

Longest possible perimeter of the triangle is

To find the longest possible perimeter of the triangle.

Given

Angle

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The longest possible perimeter of the triangle is ( 5 + \frac{5\sqrt{3}}{2} + \frac{5\sqrt{2}}{2} ).

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