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

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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

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 of the original triangles and a new right c angled triangle a b
a e Fill in the gap with another right angled b c triangle to make f another rectangle. c a b
Mirror one rectangle to make a larger one a e b c f c a b
a c a e b c f Can you work out the area of e each set of shapes?
Pythagoras’ Theorem c a b

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

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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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Numerical Analysis II Xiaojing Ye, Math & Stat, Georgia State University Spring 2020