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# Triangle Inequality Theorem

## Sum of the lengths of any two sides of a triangle is greater than the third side.

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Triangle Inequality Theorem
Teacher Contributed

## RWA Triangle Inequality Theorem

History of Math

### Vocabulary

• Triangle Inequality Theorem

### Student Exploration

#### How long ago was the triangle inequality theorem first written down?

A fragment of Euclid's elements found at Oxyrhynchus, which is dated to circa 100 AD. The diagram accompanies Proposition 5 of Book II of the Elements. http://en.wikipedia.org/wiki/Euclid's_Elements

### Extension Investigation

Solve problems using the Triangle Inequality Theorem

Triangle Inequality Theorem

#### Layering (optional)

Triangle Inequality Theorem

Theorem

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