Question

define the following :-
1. ortho centre
2.Centroid
3.In centre

Answer 1

Orthocenter

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).

Centroid

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 is twice the length of the length of the line segment joining the midpoint to the opposite side.

the segment connecting the centroid to the apex is twice the length of the line segment joining the midpoint to the opposite side.

BG = 2GA

Incenter

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.

The incenter is the center of the circle inscribed in the triangle.