Pythagoras theorem

card board, colored pencils, pair of scissors, fevicol, geometry box.

- Take a card board of size say 20 cm × 20 cm.
- Cut any right angled triangle and paste it on the cardboard. Suppose its sides are a, b and c.
- Cut a square of side a cm and place it along the side of length a cm of the right angled triangle.
- Similarly cut squares of sides b cm and c cm and place them along the respective sides of the right angled triangle.
- Label the diagram as shown in Fig(a).
- Join BH and AI. These are two diagonals of the square ABIH. The two diagonals intersect each other at the point O.
- Through O, draw RS || BC.
- Draw PQ, the perpendicular bisector of RS, passing through O.
- Now the square ABIH is divided in four quadrilaterals. Color them as shown in Fig(a) .
- From the square ABIH cut the four quadrilaterals. Color them and name them as shown in Fig(b).

Fig(a) Fig(b)

- Draw a right angled triangle by giving base and heights in the input box.
- Now, click on the respective three sides of a triangle.
- Now, click on the three squares to fill with distinct colors.
- Now, click on the base square to draw its diagonals.
- Now, click on hypotenuse to generate its parallel line.
- Now, drag the generated parallel line to the blue square so that it passes through the point of intersection of diagonals.
- Now, double click on this parallel line to generate its perpendicular bisector.
- Now, check all the check boxes in the tool box to get four quadrilaterals.
- Now, rearrange coloured pieces from the square below the base and the square along the height of the triangle, in the square along the hypotenuse.

**Observation: **

The square ACGF and the four quadrilaterals cut from the square ABIH completely fill the square BCED. Thus the theorem is verified.

**Cite this Simulator:**