Question

In ∆ABC, which of the following is correct? A) AB + BC = AC B) AB – BC = AC C) AB + BC > AC D) AB + BC < AC

Answer 1

The correct answer is AB + BC > AC, based on the Triangle Inequality Theorem stating the sum of two sides of a triangle is greater than the length of the third.

Step-by-step explanation:

In the triangle ABC, the correct statement regarding the sides would be AB + BC > AC. This principle is part of the Triangle Inequality Theorem, which says that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. For example, if AB = 3 and BC = 4, AC needs to be less than 7 (AB + BC) to form a triangle.

Learn more about Triangle Inequality Theorem