Fun with Pythagorus theorem | English
Channel: Arvind Gupta
Date: 2016-04-14

First let’s mark a square and cut a square with size 15cm.
The area of the square will be 15*15 = 225 sq cm.

At the top corner of the square let’s make another square and cut it.
Its side 9 cm. So the area will be 81 sq cm.

Both these squares are in a larger square of size 25 + 9 = 24cm.
After cutting the two squares of 15cm and 9cm side we are left with
Two rectangles of side 15 cm and 9 cm.

Now we cut these two rectangles in 2 parts. So we get 4 such triangles.
All these are right angled.

We can now see the empty space left by the 2 square is 225 + 81 = 306 sq cm
This sum of two squares can be arranged by moving the triangles around and
Magically it results in a square in the middle. The side of this square will
Square root of 306 which is 17.5. This is also the side if the right triangle 
That we got by cutting two rectangles.

So we have seen by this activity sum of squares is a third square such that they
Form the right angled triangle. This is the Pythagoras theorem.


This work is supported by IUCAA (www.iucaa.in) and TATA Trust (www.tata.com/aboutus/sub_index/Tata-trusts)

Credits:,Ashok Rupner, Manish Jain, Pradnya Pujari, Shivaji Mane, Jyoti Hiremath, Arvind Gupta, Vidula Mhaiskar

Dubbed in Malayalam by CK Biju, SNV Sanskrit HSS, Kochi TATA Trust: Education is one of the key focus areas for Tata Trusts, aiming towards enabling access of quality education to the underprivileged population in India. To facilitate quality in teaching and learning of Science education through workshops, capacity building and resource creation, Tata Trusts have been supporting Muktangan Vigyan Shodhika (MVS), IUCAA's Children’s Science Centre, since inception. To know more about other initiatives of Tata Trusts, please visit www.tatatrusts.org