Maths 
Q.pythagorean triplets from following set 

1. 4cm,7cm,8cm 
2.5cm,12cm,13cm 
3.7cm,24cm,25cm

Dear Student,

Please find below the solution to the asked query:

We know : A ' Pythagorean Triplets ' is a set of positive integers, a, b and c that fits the rule: a² + b² = c². 

1 ) for 4 cm , 7 cm and  8 cm  we always consider c = highest of given three number  = 8  and ' a ' and ' b '  can be any of the rest of two numbers , So

4² + 7² = 8²

$\Rightarrow$ 16 + 49 = 64

$\Rightarrow$ 65 $\ne$ 64                                         ( Not verified )

So these are not ' Pythagorean Triplets ' .

2 ) 5 cm , 12 cm and 13 cm  , So

5² + 12² = 13²

$\Rightarrow$ 25 + 144 = 169

$\Rightarrow$ 169 =  169                                         ( Verified )

So these are ' Pythagorean Triplets ' .

3 ) 7 cm , 24 cm and 25 cm  , So

7² + 24² = 25²

$\Rightarrow$ 49 + 576 = 625

$\Rightarrow$ 625 =  625                                         ( Verified )

So these are ' Pythagorean Triplets ' .


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