orthocenter
(geometry)
The point where the altitudes of a triangle intersect is called the orthocenter. This point is concurrent, meaning the three altitudes intersect at this single point inside or outside the triangle. The orthocenter is different from the centroid, circumcenter, and incenter of a triangle.
Orthocenter
It is called the The circumcentre.
Bisect two of the angles. The intersection of the resulting lines is the triangle's centre.
The incenter of a triangle is the point at which the 3 medians (lines from the vertex to the middle of the side opposite the vertex) of the triangle intersect. Per it's definition, the incenter cannot ever fall outside the triangle. On the other hand, the orthocenter (intersection of the altitudes) can. It does so whenever the triangle is obtuse.
Yes. They meet at the orthocentre.
No, they meet at a single point.
Actually, the orthocenter of a triangle is the point where the three altitudes of the triangle intersect. The altitudes are perpendicular lines drawn from each vertex to the opposite side. The angle bisectors of a triangle intersect at the incenter, not the orthocenter.
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.
The step to verify an isosceles triangle is: 1) Find the intersection points of the lines. 2) Find the distance for each intersection points. 3) If 2 of the distance are the same then it is an isosceles triangle.
They intersect at the circumcentre.
scalene