Proving Pythagoras Theorem and that ancient Greeks were pre8y good - - PowerPoint PPT Presentation

proving pythagoras theorem
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Proving Pythagoras Theorem and that ancient Greeks were pre8y good - - PowerPoint PPT Presentation

Proving Pythagoras Theorem and that ancient Greeks were pre8y good at mathema9cs We start with a triangle of a par9cular type. c a b What is the area of this rectangle? c a b a Split that rectangle so that we can b c have two


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SLIDE 1

Proving Pythagoras’ Theorem

and that ancient Greeks were pre8y good at mathema9cs

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SLIDE 2

a b c

We start with a triangle of a par9cular type.

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SLIDE 3

a b c

What is the area of this rectangle?

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SLIDE 4

a b c c a b

Split that rectangle so that we can have two of the original triangles and a new right angled triangle

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SLIDE 5

a b c c f a b e

Fill in the gap with another right angled triangle to make another rectangle.

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SLIDE 6

a b c c a b e f

Mirror one rectangle to make a larger one

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SLIDE 7

a b c c a e e f

Can you work

  • ut the area of

each set of shapes?

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SLIDE 8

a b c

Pythagoras’ Theorem