Nayland College

Nayland College - Mathematics

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Pythagoras

Triangles HOME | Achievement Criteria | Pythagoras | Trigonometry | Area | Sin Rule | Cosine Rule | Revision

1

Overview

Review Pythagoras: finding the hypotenuse or a shorter side using Pythagoras and application problems

ViHarts video on Khan Academy 'Whats up with pythagoras'

Khan Academy Videos: Pythagoras Iintroduction, Example

Achievement Standard

The trig rules we will learn | MR Notes, Blank notes | Applications

 web link: 54 Pythagoras proofs   |   web link: java demo | web link: pythag proofs | a web link about Pythagoras |

Heaps of other Pythagoras web information (wikipedia)

Assessment Criteria | Animation

p131

 

Overview

Pythagoras links the sides of a right angle triangle
Square the side lengths

Areas a2+b2=c2

Cut up a2

Overlay over c2

Mouse-over key words

 a2 + b2 = c

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web link: 54 Pythagoras proofs   |   web link: java demo | web link: pythag proofs | a web link about Pythagoras |

Heaps of other Pythagoras web information (wikipedia)

 

Finding hypotenuse length

'Add the squares'
Square the short side lengths

Add squares

Square root

Summary

Mouse-over key words

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Finding a short length

'Subtract the squares'
Square the side lengths

Subtract squares

Square root

Summary

Mouse-over key words

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Applications

Form a triangle

Add or Subtract squares?

Answer

Working

Mouse-over key words

 
 

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