Question

12. Given triangle ABC with sides a, b, and c

opposite angles A, B, and C, respectively,
determine which side is the longest if
MZA = 49°, mZB = 24°, and mZC = 107°.
If you need, construct this triangle on a sheet of paper.
side c
side a
side b
Impossible to determine

Answer 1

Side c

Explanation:

Generally triangles can be classified with respect to their sides, or their angles. And there is a relationship between the length of the sides and the measure of the opposite angles of a given triangle. The relationship is that; the longest length of side is the one that is always opposite to the greatest angle.

In the given question, the longest side given that m<A = 49°, m<B = 24°, and m<C = 107° of the internal angles of the triangle is side c. Since side c is opposite the greatest angle, <C.