Question

question 1 of 10 which of the following is the statement of the triangle inequality theorem? a. the sum of the lengths of any two sides of a triangle is greater than the length of the third side. b. the sum of the measures of any two angles of a triangle is greater than the measure of the third angle. c. the longest side of a triangle is opposite the largest angle. d. the largest angle of a triangle is between the two longest sides.

Explanation:

The triangle - inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is a fundamental geometric property. Options B, C, and D do not represent the triangle - inequality theorem.

Answer:

A. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.