# Important Points of Triangles As can be seen in the illustration below, it is possible to trace four segments in a triangle, each with different characteristics. From these four different types of triangle divisions, we can find four important points in the triangle. The table presents a summary of the main characteristics of these points.

• Altitude: draw a line at right angles to a side and going through the opposite corner.
• Angle bisector: draw a line from a corner so that it splits the angle in half.
• Median: draw a line from a corner to the midpoint of the opposite side.
• Perpendicular bisector: draw a line at right angles to the midpoint of each side. NameImagePointCuriosities
Orthocenter Intersection point of the 3 altitude.The orthocenter is in the inner region of the triangle if this is a acute triangle, coincides with the vertex of the right angle if it is a right triangle and lies outside the triangle in the case of this being a obtuse triangle.
Incenter Intersection point of the 3 angle bisectorThe incenter is the center of a circle inscribed in the triangle. Therefore, it is at the same distance from all its sides.
Centroid Intersection point of the 3 medianThe centroid is the center of gravity of the triangle. If we suspend a triangle through its centroid, it stays in balance. This point is at a distance of two-thirds from the median to the corresponding vertex.
Circumcenter Intersection point of the 3 perpendicular bisectorThe circumcenter is the center of a circumference circumscribed in the triangle. Therefore, it is at the same distance from the three vertices. If you have any pertinent (math) question and you are not able to easily find a answer, then send us a message through the Contact page. We will be happy to respond. In the event that you detect any errors in our summary tables, do not hesitate to let us know! We will try to correct it as soon as possible.