Triangle Inequality Theorem 🐸

The Triangle Inequality Theorem is a fundamental principle in geometry that states:

The sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the third side.

Why is it Important?

This theorem helps determine if a set of three lengths can form a triangle. It's vitally important for solving problems in geometry and understanding the structure of shapes in advanced mathematics and engineering.

Illustration

Consider three sides of lengths: a, b, and c. Then, the triangle inequality asserts:

• a + b > c
• b + c > a
• c + a > b