[color=#000000][b]Theorems:[/b][/color][br][br]The angle bisectors of the interior angles of a triangle are concurrent (intersect at exactly [color=#000000][b]one point[/b][/color]). [br]This [b][color=#000000]point[/color][/b] is called the [color=#000000][b]incenter[/b][/color] of the triangle. [br][br]The [color=#000000][b]incenter[/b][/color] of a triangle is [color=#0000ff][b]equidistant[/b][/color] from the triangles 3 sides.[br][br]The incenter serves as the center of the (largest) [color=#9900ff][b]circle one can inscribe inside the triangle[/b][/color].[br]This [color=#9900ff][b]inscribed circle (incircle)[/b][/color] is tangent to the triangle's 3 sides.