Let's say you have a pair of triangles with two congruent sides but a different angle between those sides. Think of it as a hinge, with fixed sides, that can be opened to different angles:The … [Read more...] about Hinge Theorem

# 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.*

## Converse of the Scalene Triangle Inequality

Having proven the Scalene Triangle Inequality- that if in a scalene triangle ΔABC, AB>AC then m∠ACB> m∠ABC - proving the converse is very simple.ProblemIn scalene triangle ΔABC, … [Read more...] about Converse of the Scalene Triangle Inequality

## Scalene Triangle Inequality

A scalene triangle is a triangle in which all three sides have different lengths. The scalene triangle inequality theorem states that in such a triangle, the angle facing the larger side has a … [Read more...] about Scalene Triangle Inequality

## Triangle Inequality Theorem

We all know that "the shortest distance between two points is a straight line." That is the informal way of describing the triangle inequality theorem.If we want to go from point A to point B, … [Read more...] about Triangle Inequality Theorem