2.9 Pythagoras

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2.9 Pythagoras Theorem
Teacher training package for preparatory Course
for numeracy specialists
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Pythagoras Theorem
Take a right angled triangle with sides of 5cm,
4cm and 3cm.
Draw squares off each side of the triangle.
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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
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Pythagoras Theorem
We can move the smallest square onto the largest
square.
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Pythagoras Theorem
The middle square can be cut up.
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Pythagoras Theorem
will fit here
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Pythagoras Theorem
We can cut out a square from this section
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Pythagoras Theorem
and place the larger section here.
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Pythagoras Theorem
will fit here
The small square
Would this work with any right-angled triangle?
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Pythagoras Theorem
Useful links http//en.wikipedia.org/wiki/Pythago
rean_theorem http//www.mathsisfun.com/pythagoras
.html http//www.ies.co.jp/math/java/samples/pyth
a2.html