Cut a sheet of paper in the form of a triangle. Fold the paper along the vertices to
form three angle bisectors. Observe that the three angle bisectors pass through the
same point, the incentre, denoted as I.
(Note : Incentre is the point of concurrence of the angle bisectors of a triangle)
- Centroid
Cut a sheet of paper in the form of a triangle. Form the three medians by folding the
triangle from the midpoint of a side to the opposite vertex. Observe that the three
medians pass through the same point, the centroid, G.
(Note : Median is the line joining the midpoint of a side to the opposite vertex. The point
of concurrence of the medians of a triangle is the centroid, denoted as G. )
- The centroid divides the medians in the ratio 2:1
Form the centroid of a triangle in a sheet of paper. Cut a small strip of paper to the
same length as that of the longer side of the median. Now fold the strip of paper into
two and observe that it is of the same length as that of shorter side of the median.
Thus the cetroid of a triangle divides the medians in the ratio 2:1.
- Circum Centre
A
D F
C E B
G
A
D
C E B
S