This blog site is an effort to share unique and interesting ideas in science, as a part of a group learning effort. The participants can be from any age group, but the focus of our activity are kids in primary and high schools.
Saturday, December 25, 2010
A simple proof of Pythagoras Theorem
Narasimhanna sent this simple proof of Pythagoras theorem. I have drawn pictures that make it easy to understand the already simple proof. If you have questions post them in the comments section.
Srinidhi, In the X-Y plane, (0,0) is the origin. Other points in the plane are specified by two numbers such as (2,3). The point (2,3) can be reached by moving along X-axis by 2 units and along Y-axis by 3 units. Similarly, (a+b,0) is reached by moving distance a+b along X-axis and not moving at all along Y-axis. So (a+b,0) is the point R in the diagram.
Try the following: Draw an X-Y plane and plot the following points: (1,2), (4,5), (-3,4), (-4,-5), (5,-3) etc.
I did not understand O=(0,0), R = (a+b,0), Q=(a+b,a+b), P= (0,a+b)
ReplyDeleteSrinidhi,
ReplyDeleteIn the X-Y plane, (0,0) is the origin. Other points in the plane are specified by two numbers such as (2,3). The point (2,3) can be reached by moving along X-axis by 2 units and along Y-axis by 3 units. Similarly, (a+b,0) is reached by moving distance a+b along X-axis and not moving at all along Y-axis. So (a+b,0) is the point R in the diagram.
Try the following: Draw an X-Y plane and plot the following points: (1,2), (4,5), (-3,4), (-4,-5), (5,-3) etc.
Let me know if you have questions.