Lab Manual: Centroid of a Triangle | Lab Manuals for Class 10 PDF Download

Objective

Prerequisite Knowledge

• Concept of finding the mid-point of a line segment by paper folding.
• Definition of medians.
• Meaning of Centroid.

Materials Required
Coloured papers, a pair of scissors, pencil, geometry box, fevistick.

Procedure 

• Cut an acute angled triangle ABC from a coloured sheet of paper.
  
• Find the mid-points of sides AB, BC and AC by paper folding.
  
• Fold the triangle along AD, press it and unfold it, along BE, press it and unfold it, similarly fold the triangle along CF, fold it press it and unfold it.
• We get three creases AD, BE and CE These three creases are called medians and they meet or intersect or pass through one point say G.
  
• This point G is known as the centroid of a ∆ABC.

Observation

• We get three medians of ∆ABC as AD, BE and CF.
• The point of concurrence is known as the centroid of a ∆ABC.

Result
All three medians in a triangle intersect at a point called the centroid of the triangle.

Learning Outcome
Medians of an acute-angled triangle concurred at a point known as centroid, which always lies inside the triangle

Activity Time
Verify that the centroid of an obtuse-angled triangle and a right-angled triangle always lie inside the triangle.