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.

Related questions
See all questions in Area of a Triangle
Impact of this question
1624 views around the world
You can reuse this answer
Creative Commons License