Class 07 ACTIVITY 2 – TRIANGLES- Pythagoras Theorem

 ACTIVITY 2 – TRIANGLES- Pythagoras Theorem

Objective: 

To verify the Pythagoras theorem by paper cutting and pasting method.

Materials required: 

Squared paper, Colour pencils, a pair of scissors, glue stick, geometry box etc.,

Procedure:

1. On a squared paper, draw a right triangle ABC, right angled at B.

2. Draw squares on each side of the triangle as shown below.

3. Locate the centre of the square drawn on the longer leg of the ∆ABC. Mark it as 0. Draw DE ∥ AC, which passes through O. Draw FG such that ∠FOD = 90 °.

4. Cut out the square on side BC and the four pieces of the square on side AB.

5. Paste these five pieces over the square on the side AC as shown below. 

Observations:

In figure 5, we see that the square on side BC and the square on side AB (four pieces)completely cover the square on side AC. Or square on side AC = square on side AB + square on side BC. Or 

AC2 = AB2 + BC2

Conclusion: 

From the above activity, we can say that in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. 

Do Yourself: 

On a squared paper, draw two different right triangles. In each case verify the Pythagoras theorem by using the paper cutting and pasting method.