Draw and locate the centroid of triangle LMN with LM = 5.5cm, , MN = 6.5cm.

Step-1:

Draw a line segment LM with 5.5cm and take that as base. Take M as Centre and draw an arc with 6.5cm radius, taking M as Centre draw ray of 100^o that should cut the previous arc. Name the intersection point as N and connect it to L. Thus, triangle is formed.

STEP-2:

Draw perpendicular bisector for any two sides

We take LN side. Taking more than half of LN we draw arc on adjacent sides of line segment and from both the ends of the line segment (LN) and we connect the intersected points. Name the midpoint as O

STEP-3

In the same way we draw perpendicular bisector for MN. Name the midpoint as P

STEP-4:

Draw the medians LP, MO and name the meeting point is the centroid G

Thus, we have constructed centroid (G).