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what is orthocentre,incentre,centroid and circumcentre

Centroid is the point where all the medians meet

and circumcentre is the centre of the circle drawn to circumscribe a given figure.

 

Example :

 

 

In the given figure AD, BE and CF are the medians of ΔABC and G is its centroid

and O is the circumcentre of ΔPQR.

 

The incentre is the point of intersection of the angle bisectors of the triangle.

Here point D is the incentre of triangle.

Orthocentre

Here is the link for answer to your query!

 

https://www.meritnation.com/ask-answer/question/what-is-orthocentre-and-what-is-centroid/triangles/463359

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orthocenter --- place where altitudes of a triangle meet.    incentre--- the point of intersection of the internal bisectors of the angles of a triangle.      centroid---- point of the intersection of medians of a triangle      circumcenter---point of intersection of the perpendicular bisectors of the sides of a triangle

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The orthocenter is the point of intersection of the three heights of a triangle.

A height is each of the perpendicular lines drawn from one vertex to the opposite side (or its extension).

The centroid is the point of intersection of the three medians.

A median is each of the straight lines that joins the midpoint of a side with the opposite vertex

The centroid divides each median into two segments, the segment joining the centroid to the vertex multiplied by two is equal to the length of the line segment joining the midpoint to the opposite side.

BG = 2GA

The circumcenter is the point of intersection of the three perpendicular bisectors.

A perpendicular bisectors of a triangle is each line drawn perpendicularly from its midpoint.

 

The incenter is the point of intersection of the three angle bisectors.

The angle bisectors of a triangle are each one of the lines that divide an angle into two equal angles.

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