In [math]\Delta[/math][i][color=#134f5c]ABC[/color][color=#93c47d],[/color][/i] [b][color=#ff0000]segment CD[/color][/b]is called an [b][color=#ff0000]ALTITUDE[/color][/b] and [b][color=#0000ff]segment CE[/color][/b] is called a [b][color=#0000ff]MEDIAN[/color][/b].[br][br]Move points A, B, and C around to help you answer the questions below.
How would you define the [color=#0000ff][b]median[/b][/color] of a triangle?
How would you define the [b][color=#ff0000]altitude[/color][/b] of a triangle?
True or False: The [color=#0000ff][b]median[/b][/color] and the [color=#ff0000][b]altitude[/b][/color] of a triangle are always the same thing.
Was it ever possible to get the [color=#0000ff][b]median[/b][/color] and [color=#ff0000][b]altitude[/b][/color] to be the same? Explain when (if possible).