Pythagoras Theorem

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Pythagoras Theorem
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Pythagoras Theorem
Pythagoras found a relationship between the
lengths of the sides of any right angled triangle.
He put a square on each of the 2 shorter sides
5cm
4cm
3cm
Area 329cm2
Area 4216cm2
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Pythagoras Theorem
Area 5225cm2
42
5cm
So...
4cm
3242 52
3cm
32
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Pythagoras Theorem
More generally, for any right angled triangle...
c2 a2 b2
c
a
HYPOTENUSE
b
Note c is the longest side of the triangle and
is opposite the right angle. We call this side the
HYPOTENUSE
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Pythagoras Theorem
Example
5cm
Calculate the length of x
12cm
Write down the relationship between the 3 sides
Take the square root of this value