Pythagoras Theorem

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Pythagoras Theorem

• Year 9

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Pythagoras

• Discovered something about the sides of a Right
  Angled Triangle

Longest Side
HYPOTENUSE
A rightangle 90o
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Squares on Sides
9 16 25
Area
5 x 5
52
Area
3 x 3
25cm2
5
3
9cm2
32
Area
4
4 x 4
16cm2
42
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Theorem is
a2 b2 c2
c
a
b
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Special Triangle
Each Side is a Whole Number in Length
5
3
4
PYTHAGOREAN TRIPLE
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Example Calculate Hypotenuse
72 32 c2
49 9 c2
c2 58
c cm
c v58
3 cm
c 7.6157.cm
c 7.6cm
7 cm