This applet (along with three others) allows you to explore 'digital' Geostix. Traditionally, Geostix comprise six plastic sticks of different lengths that clip together: [b][color=#ff7700]orange[/color][/b] [1 unit], [b][color=#741b47]purple[/color][/b] [sqrt(2) units], [b][color=#00ff00]green[/color][/b] [sqrt(3) units], [b][color=#ffff00]yellow[/color][/b] [2 units], [b][color=#0000ff]blue[/color][/b] [sqrt(6) units] and [b][color=#ff0000]red[/color][/b] [2sqrt(2) units]. Here we see some of the 26 possible isosceles triangles that can be made from these sticks (and the other triangles can be explored on the other three applets).[br]Move each triangle by dragging the blue cross, and rotate it using the green circle.[br][list][*]What do you notice about the triangles? [/*][*]Which ones are similar? [/*][*]How can they be arranged according to (i) their angles and (ii) their areas? [/*][*]What is special about the lengths of the sticks?[/*][/list]Check out the companion applets ...