In a triangle ABC, AB + AC = 3.1 cm, BC = 1.5 cm. Can angle A be the largest angle of a triangle?

In any triangle, the sum of the lengths of any two sides is greater than the length of the third side, and also, against the larger side of the triangle, a larger angle must lie.

If we denote by x, for example, the side AB, then AC = 3.1 – x, then the following inequality can be drawn up: 1.5 + x> 3.1 – x.

From the inequality and the properties of the sides of the triangle, we have that x> 0.8 and x <3.1.

From these considerations, we can conclude that one of the sides AB or AC can be larger than the side BC. Therefore, no, it cannot.