Tangent of a Sum: Discovery

[color=#000000]The applet below contains a rectangle with[/color][color=#980000] [/color][b][color=#f1c232]2 yellow similar triangles[/color][/b][color=#980000]. [/color][br][color=#ff00ff][b]The base of the rectangle has length 1.  [/b][/color][br][br][color=#000000]There are 7 expressions shown off to the right.  [/color][b][color=#0000ff]Your job is to [/color][/b][color=#0000ff][b]carefully drag each expression (label) next to the segment (in the figure) whose length is given by this expression. [/b][/color] [br][br][color=#000000]Don't bother labeling the dashed hypotenuse of the right triangle in the middle.  Leave this dashed segment blank (without a label.)  [/color][br][color=#000000](If you're absolutely desperate, you can click the "show hint" button.)[/color]

Information: Tangent of a Sum: Discovery