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.
True for an obtuse triangle!
triangle
They are coplanar. ANY 2 lines would be coplanar, however a third line can be outside of the plane. just like 3 points will designate a plane and a triangle
Any two points lie on the same line, since a line can be drawn through any two points.Three points that lie on the same line are described as being "collinear" points.
This means that the data points lie perfectly on a line with negative slope. For example, the points (0,4), (1,3), (2,2), (4,0) are perfectly correlated since they lie on the line y = -x + 4. It is a negative correlation since the slope of the line is -1, a negative number, or alternatively because as x rises, y falls.
Not normally
The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the sides of the triangle.
No.
True for an obtuse triangle!
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.
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.
sides
The orthocenter of a triangle is the point where the altitudes of the triangle intersect. It may lie inside, outside, or on the triangle depending on the type of triangle. In an acute triangle, the orthocenter lies inside the triangle; in a right triangle, it is at the vertex opposite the right angle; and in an obtuse triangle, it is outside the triangle.
The intersection of the three altitudes of a triangle is called the orthocenter. This point can lie inside the triangle for acute triangles, on the triangle for right triangles, and outside the triangle for obtuse triangles. The orthocenter is one of the triangle's key points of concurrency, along with the centroid and circumcenter.
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
Yes, it can.
The altitudes of a triangle are the segments drawn from each vertex perpendicular to the opposite side. These lines intersect at a point called the orthocenter, which can lie inside the triangle for acute triangles, on the vertex for right triangles, and outside for obtuse triangles. Each altitude represents the height of the triangle from that vertex, contributing to the calculation of the triangle's area. The altitudes can be constructed using geometric methods or calculated using coordinate geometry.