How to make Pythagoras theorem working model math’s project

In this article we show you how to make the Pythagoras theorem working model math’s project

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Pythagoras theorem working model math's project
Pythagoras theorem working model math’s project

Creating a Pythagoras theorem working model using grains, cardboard, and a transparent sheet is a great way to visualize this fundamental mathematical principle.

This model will demonstrate the relationship between the areas of the squares on the sides of a right triangle. Here’s a step-by-step guide:

Materials Needed:

  1. Cardboard: For the base and squares.
  2. Transparent Sheet: For covering the squares.
  3. Grains: Such as rice or lentils, to fill the squares.
  4. Glue: For assembling the model.
  5. Scissors and Craft Knife: For cutting the cardboard and transparent sheet.
  6. Ruler and Compass: For measuring and drawing shapes.
  7. Markers or Paint: For labeling and decorating.

Video steps on making Pythagoras theorem working model math’s project

1. Prepare the Base:

  • Cut a large rectangular piece of cardboard to serve as the base of your model.
  • Optionally, cover the base with color paper or paint it for a more polished look.

2. Draw and Cut Out the Right Triangle:

  • On the cardboard base, draw a right-angled triangle. Ensure the sides are proportional, such as 3 cm, 4 cm, and 5 cm (a 3-4-5 triangle), or any other Pythagorean triplet.
  • Cut out the right triangle from the cardboard.

3. Create the Squares on Each Side of the Triangle:

  • Square on the Hypotenuse:
    • Measure the length of the hypotenuse.
    • Draw a square with sides equal to the length of the hypotenuse.
    • Cut out the square from cardboard.
  • Squares on the Legs:
    • Measure the lengths of the two legs of the triangle.
    • Draw squares with sides equal to the lengths of these legs.
    • Cut out these squares from cardboard.

4. Attach the Squares to the Base:

  • Position the right triangle on the base.
  • Glue the triangle securely to the base.
  • Attach the corresponding squares to each side of the triangle. Ensure the squares on the legs are perpendicular to the triangle, and the square on the hypotenuse is correctly aligned.

5. Create the Transparent Covers:

  • Cut pieces of the transparent sheet slightly larger than each square. These will be used to cover the squares to hold the grains in place.
  • Use glue to attach the transparent sheets to the squares on the base, leaving one side open for adding the grains.

6. Fill the Squares with Grains:

  • Carefully fill each square with grains, ensuring an even layer that completely covers the area of each square.
  • Once filled, seal the open sides of the transparent sheets with glue to keep the grains in place.

7. Label the Model:

  • Use markers or paint to label the sides of the triangle (a, b, and c) and their corresponding squares (a², b², and c²).
  • You can also write the Pythagorean theorem equation: a2+b2=c2a² + b² = c²a2+b2=c2 on the base near the model.


This Pythagoras theorem working model is an excellent hands-on project to illustrate the relationship between the sides of a right triangle and their corresponding squares. It’s perfect for a school project or math exhibition, providing a clear and interactive demonstration of this important mathematical concept. Enjoy making and showcasing your model!

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