To prove: The sum of two sides of a triangle is greater than the third side, BA + AC > BC. Assume: Let us assume ABC to be a triangle.Hence, sum of two sides of a triangle is always greater than the third side. solution. expand. Was this answer helpful?Here we will prove that the sum of any two sides of a triangle is greater than the third side. Given: XYZ is a triangle. Construction: Produce YX to P such. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.Prove that the sum of any two sides of a triangle is always greater than the third side. Hint: Use the fact that in a triangle, the larger angle has a larger.

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## triangle inequality theorem

The triangle inequality theorem states that the sum of any two sides of a triangle is greater than the third side, and if the sum of any two sides of a triangle. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.The Triangle Inequality theorem states that in any triangle, the sum of any two sides must be greater than the third side. In a triangle, two arcs will. The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of. The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Triangle Inequality Theorem.