# Triangle Inequality Theorem

Any side of a triangle must be **shorter** than the other two sides added together.

Why? Well imagine one side is **not** shorter:

- If a side is
**longer**, then the other two sides don't meet: - If a side is
**equal**to the other two sides it is not a triangle (just a straight line back and forth).

Try moving the points below:

When the three sides are **a**, **b** and **c**, we can write:

- a < b + c
- b < a + c
- c < a + b