# Two corners of a triangle have angles of #pi / 3 # and # pi / 2 #. If one side of the triangle has a length of #9 #, what is the longest possible perimeter of the triangle?

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Kalyanam S.
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Jun 1, 2018

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Longest possible perimeter

#### Explanation:

Side of length 9 should correspond to the least angle

Applying Law of Sines,

Longest possible perimeter of the triangle is

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