A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 5, respectively. The angle between A and C is #(11pi)/24# and the angle between B and C is # (7pi)/24#. What is the area of the triangle?
1 Answer
Mar 15, 2018
The triangle does not exist...
Here's the area anyways:
Explanation:
Area of the triangle:
Let's determine angle C:
Area of the triangle:
How do I know this triangle particularly does not exist?
Well:
The law of sines states:
SinA/a= SinB/b
Therefore:
Since Angle B cannot be computed, this triangle does not exist