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Pythagoras

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Pythagoras. In any right-angled triangle... The hypotenuse. a. c. b. c2 ... Scalene. . . . Hi, I'm Pythagoras... this is the theorem named after me. the ... – PowerPoint PPT presentation

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Title: Pythagoras


1
Pythagoras
Hi, Im Pythagoras this is the theorem named
after me
In any right-angled triangle
the square on the hypotenuse is
equal to the sum of the squares on the opposite
two sides
c
a
ý
Isosceles
The hypotenuse
ý
Equilateral
ý
Scalene
c2 a2 b2
b
90o
2
Lets look at it this way
a
c
a
c
b
b
c2
a2
b2
3
Prove it..!
Watch this!
c2 a2 b2
The film of the proof
4
Another proof
These triangles have the same base and height
so all have the same area
This square and parallelogram have the same base
and height so they have the same area
5
Another animation
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