AFOQT Practice Test

Which rule states that the length of one triangle side must be less than the sum of the other two sides?

1. Pythagorean theorem

2. Third Side Rule

3. Triangle Leg Rule

4. Angle Sum Rule

The correct answer is: Third Side Rule

The correct response highlights the fundamental concept in triangle geometry, referring to the rule that stipulates that the length of any one side of a triangle must be shorter than the combined lengths of the other two sides. This principle is crucial for the formation of a triangle, ensuring that the three sides can indeed connect to create a closed shape. The reference to the "Third Side Rule" captures this idea accurately, as it addresses the relationships between the sides directly. By knowing this rule, one can easily determine whether a set of three lengths can form a triangle. The other concepts presented do not convey this specific relationship among the triangle's sides. The Pythagorean theorem applies specifically to right triangles and relates to the lengths of the sides with a particular formula. The Triangle Leg Rule is not a standard term recognized in geometry, while the Angle Sum Rule pertains to the sum of angles in a triangle, which totals 180 degrees rather than the relationships between side lengths.