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The orthocenter is the point of concurrency of the altitudes in a triangle. A point of concurrency is the intersection of 3 or more lines, rays, segments or planes. The orthocenter is just one point of concurrency in a triangle. The others are the incenter, the circumcenter and the centroid.
My daughter's math teacher recommended the following site, which was enormously helpful for her. Here's a link to the 'orthocenter' topic, and you can find a bunch of other math topic videos there. It is all free. Hope it will help.
http://www.brightstorm.com/d/math/s/geometry/u/constructions/t/constructing-the-orthocenter
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Where is the orthocenter on an obtuse triangle?
An orthocenter on an obtuse triangle actually lies outside of the triangle. In an acute triangle, the orthocenter lies within the triangle.
When is the point of concurrency outside a triangle?
When you have and obtuse triangle and you are trying to find the Orthocenter
What are the properties the orthocenter of a triangle?
Construct a scalene triangle and then from each of its vertices draw a straight line that is perpendicular to its opposite side and where these 3 straight lines intersect it is the orthocenter of the triangle. The position of the orthocenter can vary depending on what type of triangle it.
Which triangle has its orthocenter ON the triangle?
An equilateral triangle perhaps depending on your meaning of 'ON the triangle'
The intersection of the altitudes of a triangle..?
ORTHOCENTER
