This GeoGebra activity shows four different [i]means[/i] of two values [color=#0000ff][i]a[/i][/color], [color=#ff0000][i]b[/i][/color].[br]([color=#b20ea8][i]AM [/i]= arithmetic[/color], [color=#198f88][i]GM[/i] = geometric[/color], [color=#0a971e][i]QM[/i] = quadratic[/color] and [color=#d69210][i]HM[/i] =harmonic[/color]) geometrically .[br][br]The values are dynamically shown as segments on a semicircle's diameter, and can be modified by moving point [i]C[/i].[br]Move point [i]C[/i] to explore how the means associated to [i]a[/i], [i]b[/i] vary accordingly, and explore the inequality:[br][math]QM \geq AM \geq GM \geq HM[/math]