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.
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.
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
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
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.
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
When you have and obtuse triangle and you are trying to find the Orthocenter
find the orthocenter of triangle pvs with vertices p(2,4), s(8,4), and v(4,0)
An orthocenter on an obtuse triangle actually lies outside of the triangle. In an acute triangle, the orthocenter lies within the triangle.
The orthocenter is the point where the altitudes of a triangle intersect. An orthocenter lies outside of a triangle only when the triangle is obtuse. If a triangle is acute, the orthocenter lies inside of the triangle.
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.
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
If a triangle is obtuse, the orthocenter of the triangle actually lies outside of the triangle. If the triangle is acute, the orthocenter of the triangle lies on the inside of the triangle
The orthocenter of a triangle is found at the intersection of the three altitudes of the triangle. Obtuse triangles contain altitudes which are found outside of the triangle, meaning their orthocenter must be outside of the triangle as well.
ORTHOCENTER
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
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.