what is incentre, orthocentre and circumvented? what is the difference between them
Hello,
These terms are related with the construction geometry.
1. Incenter :- The incenter is the center of the incircle for a polygon or in-sphere for a polyhedron (when they exist). The corresponding radius of the incircle or in-sphere is known as the in-radius. it can be constructed by the intersection of the angle bisectors. It is also the interior point for which distances to the sides of the triangle are equal.
2. Orthocenter :- The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side. there are 3 altitudes in the triangle.
3. Circumcenter :- The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors. It can be constructed by drawing perpendicular bisectors of triangles and from the intersection of the perpendicular bisectors the circumcircle is drawn the center in known as circumcenter.
Hope this answer is beneficial to you
Good luck
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