Grade 11 Mathematics Pythagorean Theorem


Pythagoras’ Theorem

In a right angled triangle, the area of the square drawn on the hypotenuse is equal to the sum of the areas of the squares drawn on the other two sides which contain the right angle.

   
           

       

     E.g.1.                                                  E.g.2. 







                    Pythagorean s’ Triples


   


a    =    m2 - n2 ,    b    =    2mn,   c    =    m2 + n2        
m
n
a=m2 - n2
b=2mn
c=m2 + n2
2
1
3
4
5
3
1
8
6
10
3
2
5
12
13
4
1
15
8
17
4
2
12
16
20
4
3
7
24
25
5
1
24
10
26
5
2
21
20
29
5
3
16
30
34
5
4
9
40
41
           

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