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The 3 altitudes of a triangle intersect at the centroid orthocenter incenter circumcenter The 3 medians of a triangle intersect at the centroid orthocenter incenter circumcenter The 3 perpendicular bisectors of a triangle intersect at the centroid orthocenter incenter circumcenter The 3 angle bisectors of a triangle intersect at the centroid orthocenter incenter circumcenter It is equidistant from the three vertices of the triangle centroid orthocenter incenter circumcenter It is equidistant from the three sides of the triangle centroid orthocenter incenter circumcenter It divides each median into 2 sections 2:1, 2/3 - 1/3 centroid orthocenter incenter circumcenter median angle bisector perpendicular bisector altitude median angle bisector perpendicular bisector altitude median angle bisector perpendicular bisector altitude median angle bisector perpendicular bisector altitude median angle bisector perpendicular bisector midsegment median angle bisector perpendicular bisector altitude median angle bisector perpendicular bisector altitude orthocenter centroid incenter circumcenter orthocenter centroid incenter circumcenter orthocenter centroid incenter circumcenter B A AB is 30, how long is the purple line? 30 60 orthocenter centroid incenter circumcenter perpendicular bisector- angle bisector ---- altittude -------- median --------- orthocenter ? circumcenter ? centroid ? incenter ? |