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Maths

Q.pythagorean triplets from following set

1. 4cm,7cm,8cm

2.5cm,12cm,13cm

3.7cm,24cm,25cm

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: a

^{2}+ b

^{2}= c

^{2}.

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

4

^{2}+ 7

^{2}= 8

^{2}

$\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

5

^{2}+ 12

^{2}= 13

^{2}

$\Rightarrow $ 25 + 144 = 169

$\Rightarrow $ 169 = 169 ( Verified )

So these are ' Pythagorean Triplets ' .

3 ) 7 cm , 24 cm and 25 cm , So

7

^{2}+ 24

^{2}= 25

^{2}

$\Rightarrow $ 49 + 576 = 625

$\Rightarrow $ 625 = 625 ( Verified )

So these are ' Pythagorean Triplets ' .

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