Triangle inequality
Vertices [color=#ffd700][i]A[/i][/color] and [color=#ffd700][i]B[/i][/color] can be moved to change the measure of [math]\angle C[/math]; lengths of sides [color=#ff0000][i]a[/i][/color] and [color=#0000ff][i]b[/i][/color] can be changed.
Triangle inequality
[math]\left( |a + b| > c\right) \wedge\left( |a + c| > b \right)\wedge\left( |b + c| > a\right) \therefore \ldots[/math]