Section 5b: Orthocenter

Directions for Using the Applet:
1. The [b]orthocenter[/b] is the point where the[b] three altitudes[/b] of a triangle intersect.[br][br]2. In the applet, you’ll see an orange point labeled O, which is the [b]orthocenter[/b].[br][br]3. [b]Click and drag the triangle’s white vertices[/b] to create different triangle shapes.[br][br]4. [b]Slide the slider[/b] to activate the altitudes and the orthocenter.[br][br]5. Watch where the orthocenter moves as the triangle changes.[br][list][*]Is it inside, on, or outside the triangle?[br][/*][/list][br]6. Spend a few minutes exploring. Try acute, right, and obtuse triangles.[br][br]7. If you need help, scroll to the bottom and watch the [b]“Quick (Silent) Demo.”[/b]
Questions to Answer (Write in Complete Sentences):
1. Can the [b]orthocenter[/b] lie [b]outside[/b] the triangle? If so, when does this happen?
2. Can the orthocenter lie [b]on the triangle itself[/b]? If so, under what condition?
3. If your answer to #2 is “yes,” [b]where[/b] on the triangle does the orthocenter appear?
4. Can the orthocenter lie [b]inside[/b] the triangle? If so, under what condition?
Schließen

Information: Section 5b: Orthocenter