The altitude of a triangle IS a geometric concept so it intersects geometry in its very existence.
The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the sides of the triangle.
Oh, dude, the altitude of a triangle is always perpendicular to the base. It's like a strict rule in Triangle Land - no slanted altitudes allowed! So, if you're ever lost in the wilderness and need to remember one thing about altitudes, just think "perpendicular or bust."
In geometry, a perpendicular segment that connects a vertex to its opposite side is the altitude of a triangle. Triangles have three altitudes, according to this definition for altitude.
A right triangle in geometry is a triangle that has 90 degrees as one of its angles.
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
The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the sides of the triangle.
Such a point is called the orthocenter. Even the fact that all three altitudes intersect at a point is quite interesting because only two lines are guaranteed to intersect at a point, but we have three.
sides
median intersect each other at a point inside triangle and altitude intrsect eachother at apoint outside triangle
The orthocenter of a triangle may lie outside the triangle since the ___altitude___ may not intersect any side of the triangle. * * * * * No. One of the altitudes must intersect the side opposite it and so it is not correct to say ANY side of the triangle.
No. Not if the triangle is right angled (the intersection is AT the right vertex) or obtuse angled (intersection outside).
They can only intersect at the circumcentre, which is a point outside the triangle, beyond the side opposite the obtuse angle.
If they do intersect, it will be at their point of intersection.
Oh, dude, the altitude of a triangle is always perpendicular to the base. It's like a strict rule in Triangle Land - no slanted altitudes allowed! So, if you're ever lost in the wilderness and need to remember one thing about altitudes, just think "perpendicular or bust."
In Euclidean geometry, parallel lines never intersect. They go this way forever and never intersect but watch this typing. _______________ _______________ In non-Euclidean geometry, they intersect when the faces are uneven.
The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude extends from a vertex (i.e. corner of the triangle) to the side opposite of it, and is perpendicular either to the side of the triangle, or to its extension. The three altitudes of a triangle are always concurrent (intersect at the same point). This point is known as the orthocenter, and always falls on the Euler Line with the centroid, circumcenter, and the center of the triangle's nine-point circle.
Altitude is not a term that is generally used in mathematics.The correspondent term used in geometry is high: we say the height of a triangle, not the altitude of a triangle. Altitude is a term used in physics and, mainly, in geography.In geography, the altitude of a single earth point is the difference between the distance from the earth center of that point and the conventional sea level.Read more: What_is_the_altitude_made_of