Uniqueness of Triangle Construction I

Uniqueness of Triangle Construction I

Introduction

The Side-Side-Side, or SSS, condition describes a triangle when the lengths of all three sides are known. Before applying this condition, the side lengths must satisfy the Triangle Inequality Theorem. This ...

Ben is making a triangular frame using sticks measuring 5 inches, 6 inches, and 7 inches. First, to check whether the sticks can form a triangle, he uses the triangle inequality theorem.

The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Here, 5 inches and 6 inch...