A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 2, respectively. The angle between A and C is #(17pi)/24# and the angle between B and C is # (7pi)24#. What is the area of the triangle?

1 Answer
Alan P.
Jan 25, 2016

The values given do not represent any possible triangle.

Explanation:

Since the interior angles of a triangle must add up to #pi#.

Interpretation 1: the angle between B and C really was meant to be #(7pi)24# as written.
If this angle is #(7pi)xx24# then it represents #84# complete rotations i.e. the angle is 0.

Interpretation 2: the angle between B and C was meant to be #(7pi)/24#
The two given angles add to #(17pi)/24+(7pi)/24=(24pi)/24=pi#
which implies the third angle must be #0#.

All angles of a true triangle must have measures #> 0#.

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