1. TRIANGLE INEQUALITY THEOREM
The sum of any 2 sides is greater than the 3rd side.

2. Copy the diagram and the inequalities below

3. The sum of the 2 shortest sides has to be greater than the 3rd side.

4. The Longest side of a triangle is opposite the largest angle
The Longest side of a triangle is opposite the largest angle. the shortest side of a triangle is opposite the smallest angle.

6. Examples – #1

7. To determine the 3rd side of a triangle: Step 1: add the 2 sides given Step 2: subtract the 2 sides given answer: the 3rd side must be between those 2 numbers.

8. Example #2

9. Example #3
If the lengths of 2 sides of a triangle are 10 and 14, then the length of the third side can be