Transcript Slide 1

Proof of
Pythagoras’ Theorem
© Daian Marsh 2004
Pythagoras’ Theorem
Take a right angled
triangle.
Draw squares off
each side of the
triangle.
© Daian Marsh 2004
Pythagoras’ Theorem
… is equal to the
area of the larger
square.
We need to show
that the sum of the
areas of the two
smaller squares…
© Daian Marsh 2004
Pythagoras’ Theorem
We can move the
smallest square
onto the largest
square.
© Daian Marsh 2004
Pythagoras’ Theorem
The middle square
can be cut up.
© Daian Marsh 2004
Pythagoras’ Theorem
This section…
… will fit here
© Daian Marsh 2004
Pythagoras’ Theorem
We can cut out a
square from this
section…
© Daian Marsh 2004
Pythagoras’ Theorem
… and place the
larger section here.
© Daian Marsh 2004
Pythagoras’ Theorem
…will fit here
The small square…
© Daian Marsh 2004
All these shapes
have been created
to scale.
QED