Draw a equilateral triangle of side 7.5cm and locate the centroid.

STEP-1:

Draw a line segment AB with 7.5cm and take that as base. Take B as Centre and draw an arc with 7.5cm radius, taking A as Centre draw an arc with 7.5 cm that should cut the previous arc. Name the intersection point as C and connect it to A, B. Thus, equilateral triangle is formed.

STEP-2:

Draw perpendicular bisector for any two sides

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

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).