The following are instructions and detailed
pictures of how to construct the Orthocenter of a triangle. Read below and
then go to sketchpad to construct your own triangle and orthocenter.
To investigate what the orthocenter(H)
of triangles is, begin with a triangle ABC.
Construct the altitudes from each vertex.
An altitude is a segment or line that extends from a vertex, perpendicular
to the opposite side (this may be the extension of a side).
Make a point of intersection of the three
altitudes.(H) This is the orthocenter.
Hide the lines so that only the point H,
orthocenter is visible.
Click here to open sketchpad and investigate
on your own. Sketchpad
Measure angle ABC. Now drag vertice B so that angle
ABC remains acute.
Where is the orthocenter located?
Now drag vertice B so that angle ABC is a right
Drag vertex B so that angle ABC is an obtuse triangle.
What conclusions can you make about the orthocenter(H)?
Type your conclusions at the bottom of your investigation