WHAT IS CIRCUMCENTRE, ORTHOCENTRE, INCENTRE, INCIRCLE, CIRCUMCIRCLE AND CENTROID?
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The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.
There are therefore three altitudes possible, one from each vertex. See Altitude definition. It turns out that all three altitudes always intersect at the same point - the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle.
Centre of incircle of triangle or other figure
Circle touching all vertices of triangle or polygon
The centroid of a triangle is the intersection of the three medians of the triangle (each median connecting a vertex with the midpoint of the opposite side). It lies on the triangle's Euler line, which also goes through various other key points including the orthocenter and the circumcenter.
There are therefore three altitudes possible, one from each vertex. See Altitude definition. It turns out that all three altitudes always intersect at the same point - the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle.
Centre of incircle of triangle or other figure
Circle touching all vertices of triangle or polygon
The centroid of a triangle is the intersection of the three medians of the triangle (each median connecting a vertex with the midpoint of the opposite side). It lies on the triangle's Euler line, which also goes through various other key points including the orthocenter and the circumcenter.
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