Step 1: Recall what is centroid.

            NOTE: In geometry, a median of a triangle is a line segment that runs from a vertex of the triangle to the midpoint of the side opposite that vertex. The centroid of a triangle is the point where the medians of the triangle intersect. 

Step 2: Draw a triangle label it with the alphabets (PQR)

Step 3: Identify the midpoint of the triangle one side

            NOTE: Use the compass and the straightedge to construct the

            perpendicular bisector of one of the sides of the triangle to find the midpoint

            of that side.


Step 4: Draw the median from the midpoint to the opposite vertex.


Step 5: In the same manner, construct  the midpoint of the remaining line segment. And draw the medians


Step 6: Conclude that the point  where the two medians intersect is the centroid of the triangle.

     NOTE: Two medians are enough to find that point.