Apply the triangle equality theorem to determine which three sides links form a triangle

1 answer

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

To determine which three sides form a triangle, we need to apply this theorem to the given sides.

Let's say we have three sides with lengths a, b, and c. To form a triangle, the following conditions must be met:

1. a + b > c
2. b + c > a
3. a + c > b

If all three conditions are true, then the sides a, b, and c can form a triangle. If any of the conditions is false, then the sides cannot form a triangle.

By applying the triangle inequality theorem, we can determine which three sides form a triangle.