Triangle Inequalities

The triangle inequality theorem states that in any triangle, the sum of the lengths of any two sides is greater than the length of the thirds side.

So, for any triangle:

AB+BC>AC

AC+BC>AB

AC+AB>BC

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Now that we've explained the basic concept of triangle inequalities in geometry, let's scroll down to work on specific geometry problems relating to this topic.

Reverse Triangle Inequality Theorem

Hinge Theorem

Converse of the Scalene Triangle Inequality

The Scalene Inequality Theorem

Triangle Inequality Theorem