Pythagoras theorem holds an important place in geometry.
The theorem states that
There are hundreds of different proofs of the Pythagoras theorem.
One of the following is proved by US President Garfield.
Steps to understand the construction of Trapezium:
Build another triangle like the first one, however, this time side ‘b’ will radiate outward in a straight line from the initial side ‘a’.
Side ‘a’ construct from ‘b’ which is also parallel to the initial side ‘b’.
Side c connecting the endpoints of the new a and new b.
We need to find the unknown angle ‘x’.
Angle of the straight line sum upto 180°
Therefore, 90°-ϴ +x + ϴ = 90°
Now join the end points of the sides ‘b’ and ‘a’.
View the illustration as a trapezium.
Now it is easy to understand the proof given by Garfield.
