A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 6, respectively. The angle between A and C is #(7pi)/24# and the angle between B and C is # (17pi)/24#. What is the area of the triangle?

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Answer 1 · 2017-02-08T14:20:28

Area: #color(green)0#

Since the internal angles of a triangle sum to #pi#
and
# /_ (A:C) + /_ (B:C) = (7pi)/24+(17pi)/24=pi#
#rArr /_(A:B)=0#

The area of this "triangle" is zero.
(It is not really a proper triangle; the 3 points are collinear).