Orthocenter Exploration
- Author:
- Tim Brzezinski
- Topic:
- Orthocenter
Recall that 3 or more lines are said to be concurrent if and only if they intersect at exactly 1 point.
Here, the triangle's 3 vertices are MOVEABLE. Slide the bottom slider really slowly and carefully observe what is taking place.
The point O you see is said to be the orthocenter of the triangle. What do you notice? What do you wonder? Describe!
Is it possible for the orthocenter of a triangle to lie INSIDE THE TRIANGLE? If so, under what condition(s) do/does this occur?
Is it possible for the orthocenter of a triangle to lie ON THE TRIANGLE ITSELF? If so, under what condition(s) do/does this occur?
Is it possible for the orthocenter of a triangle to lie OUTSIDE THE TRIANGLE? If so, under what condition(s) do/does this occur?
Without Googling, how would you define the term ORTHOCENTER OF A TRIANGLE? Describe.