What is the Meaning & Definition of Orthocenter
The orthocenter is a term that is used exclusively within the scope of the geometry and refers to that point of intersection where converge the three altitudes of a triangle. I.e., the three heights of a triangle are cut in the orthocenter. It symbolizes from the capital letter H letter.
The triangle, on the other hand, is a polygon defined by three straight lines, which are cut to two in three points that are not aligned; the points where the lines come together are called vertices and straight portions that are certain are the sides of the triangle.
Note that the orthocenter is not not an insignificant question since for example three straight lines either taken to pairs will be cut at three different points, on the other hand, in the case of the triangles, the heights are cut in one spot and that is very simple and easy to prove from precisely the orthocenter.
When the triangle is acute-angled, i.e., its three interior angles are less than 90 °, the orthocenter is the incenter of triangle ortico, which is the one that presents itself as vertices at the foot of the three heights, i.e., the projections of the vertices on its sides. Meanwhile, the incenter, symbolized from the letter I, is that point at which the three angle bisectors of triangle Interior angles intersect and creates the circumference in the Centre of the triangle in question.
On the other hand, if the triangle is right-angled, one who has a right angle of 90 °, the orthocenter coincide with the apex of the mentioned right angle.
And if it's an obtuse-angled triangle, when one of its interior angles is obtuse, i.e., greater than 90 ° and the other two measure less than 90 °, the orthocenter will be located on the outside of the triangle.
The triangle, on the other hand, is a polygon defined by three straight lines, which are cut to two in three points that are not aligned; the points where the lines come together are called vertices and straight portions that are certain are the sides of the triangle.
Note that the orthocenter is not not an insignificant question since for example three straight lines either taken to pairs will be cut at three different points, on the other hand, in the case of the triangles, the heights are cut in one spot and that is very simple and easy to prove from precisely the orthocenter.
When the triangle is acute-angled, i.e., its three interior angles are less than 90 °, the orthocenter is the incenter of triangle ortico, which is the one that presents itself as vertices at the foot of the three heights, i.e., the projections of the vertices on its sides. Meanwhile, the incenter, symbolized from the letter I, is that point at which the three angle bisectors of triangle Interior angles intersect and creates the circumference in the Centre of the triangle in question.
On the other hand, if the triangle is right-angled, one who has a right angle of 90 °, the orthocenter coincide with the apex of the mentioned right angle.
And if it's an obtuse-angled triangle, when one of its interior angles is obtuse, i.e., greater than 90 ° and the other two measure less than 90 °, the orthocenter will be located on the outside of the triangle.