Can the sides of a triangle have lengths 2, 3, and 8?

1 answer

No, the sides of a triangle must follow the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the length of the third side. In this case, 2 + 3 < 8, which means that it is impossible for a triangle to have sides with lengths 2, 3, and 8.