# Relationship between Sides and Angles of a Triangle

How to solve the relationship between sides and angles of a triangle problems: examples and their solutions.

## Example 1

The larger angle lies opposite the longer side.

(blue side) > (green side) > (red side).

So m∠(blue) > m∠(green) > m∠(red).

## Example 2

The longer side lies opposite the larger angle.

m∠(blue) > m∠(green) > m∠(red).

So (blue side) > (green side) > (red side).

## Example 3

The congruent angles lies opposite the congruent sides.

This is the property of an isosceles triangle.

(blue side) = (green side) > (red side).

So m∠(blue) = m∠(green) > m∠(red).