A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 8, respectively. The angle between A and C is #(5pi)/24# and the angle between B and C is # (5pi)/24#. What is the area of the triangle?
1 Answer
Jun 16, 2016
Such a triangle cannot exists.
Explanation:
If the angle between A and C is equal to the angle between B and C it means that the triangle is isosceles with two equal sides that are the sides connected to the same angles. In this case A and B.
So A and B must have the same length, but this is not the case because they are 7 and 8.
Such a triangle cannot exists.
As you can see from the image the lines starting with the same angles from a segment C meets in a symmetric point, then the two segment A and B cannot have different lengths.
