[color=#000000]In the applet below, you'll see a triangle with a colored square built off each side. [br]You can change the size and shape of this triangle by moving its[/color] [b]BIG GRAY VERTICES[/b] [color=#000000]around.[/color][br][color=#000000]You can also use the[/color] [color=#ff0000][b]red slider. [br][/b][/color][br][color=#000000]Interact with the applet below for a few minutes. Then, answer the questions that follow.[/color]

[b][color=#980000]Questions: [br][/color][/b][br][color=#000000]1) Is it at all possible for the [/color][b][color=#000000]sum of the areas of the 2 smaller squares[/color][/b][color=#000000] to [/color][b][color=#0000ff]be EQUAL TO[/color][color=#000000] the area of the largest square? [/color][/b][color=#000000] If this is possible, [/color][i][b][color=#980000]how would you classify such a triangle (for which you observe this to be true) [/color][/b][/i][i][b][color=#980000]by its angles? [/color][/b][color=#000000][br][/color][br][/i][color=#000000]2) Is it at all possible for the [b]sum of the areas of the 2 smaller squares[/b] to [/color][color=#0000ff][b]be GREATER THAN[/b][/color][color=#000000] [b]the area of the largest square?[/b] If this is possible, [/color][color=#980000][b][i]how would you classify such a triangle (for which you observe this to be true) by its angles? [br][br][/i][/b][/color][color=#000000]3[/color][color=#000000]) Is it at all possible for the [b]sum of the areas of the 2 smaller squares[/b] to [/color][color=#0000ff][b]be LESS THAN[/b][/color][color=#000000] [b]the area of the largest square?[/b] If this is possible, [/color][color=#980000][b]how would you classify such a triangle (for which you observe this to be true) [i]by its angles? [/i][/b][/color]