TRIANGLE INEQUALITY THEOREM

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Presentation transcript:

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

Copy the diagram and the inequalities below

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.

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

Examples – #1

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.

Example #2

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