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# The triangle inequality theorem states that A. The sum of the lengths of the sides is equal to the third side of the triangle B. The sum of the lengths of the sides is less than the third side of the triangle C. The sum of the lengths of the sides is more than the third side of the triangle D. None of these

Last updated date: 17th Jul 2024
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Hint: As we are asked about the triangle inequality theorem we know that the triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Complete step by step solution:
Here we are given about the triangle inequality theorem
Let's discuss the inequality theorem .
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

From this we get that the correct answer is option C.

Note :
Theorem 1: The sum of all the three interior angles of a triangle is 180 degrees.
Theorem 2: The base angles of an isosceles triangle are congruent.
Theorem 3: The measure of the exterior angle of a triangle is equal to the sum of the corresponding interior angles.