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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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How do you find orthocenter?
You find the orthocenter by constructing the altitudes from the vertices in a triangle. If the triangle is obtuse, the orthocenter will fall outside the triangle. If the triangle is acute, the orthocenter will fall on the inside of the triangle. If the triangle is a right triangle, the orthocenter will lie on a vertix.
Why is there a orthocenter?
There just is :)In all seriousness, all triangles (by definition) have an orthocenter and other points of concurrency. The definitions of an orthocenter is the place where the altitudes of all three sides intersect.
What is a real word application of the orthocenter?
In geometry, the orthocenter is the point where the three altitudes of a triangle intersect. A real-world application of the orthocenter can be found in architecture and engineering, particularly in the design of structures such as bridges and roof trusses. By understanding the concept of the orthocenter, architects and engineers can ensure the stability and balance of their designs, leading to structurally sound and aesthetically pleasing constructions.
What is the intersection of the three altitudes of a triangle?
orthocenter
Where is the orthocenter of a right triangle?
At the vertex of the right angle.
