[color=#000000]Recall that 3 or more lines are said to be concurrent if and only if they intersect at exactly 1 point. [br][br]The [/color][color=#980000][b]ORTHOCENTER[/b][/color][color=#000000] of a triangle is the point of concurrency of the [/color][color=#980000][b]LINES THAT CONTAIN[/b] the triangle's [b]3 ALTITUDES[/b].[/color][color=#000000] [br][br]In the applet below,[/color][color=#980000][b] point O[/b][/color][color=#000000] is the [/color][color=#980000][b]orthocenter[/b][/color][color=#000000] of the triangle. Move the white vertices of the triangle around and then use your observations to answer the questions below the applet.[/color]
[color=#000000]1) Is it ever possible for a triangle's [/color][color=#980000][b]orthocenter[/b][/color][color=#000000] to lie OUTSIDE the triangle? If so, under what circumstance(s) will this occur?[/color]
[color=#000000]2) Is it ever possible for a triangle's [/color][color=#980000][b]orthocenter[/b][/color][color=#000000] to lie ON THE TRIANGLE ITSELF? If so, under what circumstance(s) will this occur AND where on the triangle will point O lie?[br][/color]
[color=#000000]3) Is it ever possible for a triangle's [/color][color=#980000][b]orthocenter[/b][/color][color=#000000] to lie INSIDE the triangle? If so, under what circumstance(s) will this occur?[/color]