Question

what is Pythagorean triplet.write atleast 10 Pythagorean triplets

Answer 1

A Pythagorean triplet  consists of three positive integers,namely a,b and c..
such that a^2+b^2=c^2
This is applied in a right angled triangle...where the the sum of squares of the base and perpendicular is equal to the square of the hypotenuse..
p^2+b^2=h^2..
examples are:-
3,4 and 5
5,12 and 13
11,60 and 61
19,180 and 181
29,420 and 421
59,1740 and 1741
61,1860 and 1861
71,2520 and 2521
79,3120 and 3121...

hope this helps..
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Answer 2

set of A = { a , b , c } is known as Pythagoras triplet only when, a , b and c follow Pythagoras theorem .e.g
a² + b² = c² /b² + c² = a² / c² + a² = b²

method for finding Pythagoras triplet
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#1 we can understand this by one example .

take an odd number ,
an odd number = 3
now
square this number ,
e.g 3² = 9

divided by 2
e.g 9/2 = 4.5

now , add 0.5 and subtract 0.5 from it
e.g 4.5 + 0.5 = 5
4.5 - 0.5 = 4

hence, 3 , 4 , and 5 are Pythagoras triplet .
similarly,
5 , 12 , 13
7 , 24 , 25
9, 40 , 41 etc are Pythagoras triplet .

#2 :- take an even number .
an even number = 4

take square of this number ,
4² = 16

divide by 4
16/4 = 4

add 1 and subtract 1 from it
4 -1 = 3
4 + 1 = 5

So, 4 , 3 , 5 is Pythagoras triplet .
similarly ,
6 , 8, 10
8, 15 , 17
10, 24 , 26
12, 35, 37 etc are Pythagoras triplet