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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.
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Where is the orthocenter on an obtuse triangle?
An orthocenter on an obtuse triangle actually lies outside of the triangle. In an acute triangle, the orthocenter lies within the triangle.
What are the properties the orthocenter of a triangle?
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.
Which triangle has its orthocenter ON the triangle?
An equilateral triangle perhaps depending on your meaning of 'ON the triangle'
The intersection of the altitudes of a triangle..?
ORTHOCENTER
What may fall outside a triangle?
The orthocenter may fall outside of a triangle. The orthocenter usually lies within the inside the triangle. However this is only the case if the triangle is acute.
