Orthocenter of a Triangle
This applet shows the construction of the orthocenter in a triangle.
[b]Move[/b] points [color=#0000ff][b]A[/b][/color][color=#1551b5], [/color][color=#0000ff][b]B[/b][/color] and [color=#0000ff][b]C[/b][/color][color=#000000] and notice what happens to the triangle.[/color][br][br]Answer the following questions:[br][br]a. What are the [color=#0000ff][b]blue lines[/b] [/color][color=#000000]in the construction ca[/color]lled?[br][br]b. How are those [color=#0000ff][b]blue lines[/b][/color] constructed?[br][br]c. What is point [color=#ff0000][b]O[/b][/color] called?[br][br]d. Where is point [color=#ff0000][b]O[/b][/color] when the triangle is acute?[br][br]e. Where is point [color=#ff0000][b]O[/b][/color] when the triangle is obtuse?[br][br]f. Where is point [color=#ff0000][b]O[/b][/color] when the triangle is right?[br][br]g. What is unique about the [b][color=#0000ff]blue lines[/color][/b] when all three sides of the triangle are congruent?