Question

A triangle has angles of 124°, 28°, and 28°. Explain whether or not the triangle can have its three side lengths equal to 7 units, 6 units, and 14 units.

Answer 1

No it cannot. There are a couple of ways to prove this. The easiest way is that we know by looking at the angles that we have an Isosceles triangle, because we have 2 angles of the same value. We know that an Isosceles triangle must have at least 2 sides of the same length, which means that this triangle cannot have the side lengths listed.