Question

Does the numbers 4, 5, 6 form a pythagorean triple?

Answer 1

Hey mate, here is your answer :

For a set of three numbers to be pythagorean,the square of the largest number should be equal to sum of the squares of other two.

Here among

4 , 5 and 6 , 6 is largest whose square is 36 and sum of squares of other two numbers is 42 +52 =16+25=41 , which is more than 36

Hence ,

4 , 5 and 6 are not pythagorean triples.

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Answer 2

1)In a Pythagorean Triplet,

2)The square of the greatest number should be equal to the sum of squares of other two numbers.

3)Hence in the numbers 4,5 & 6

6 is the greatest number.

${6 }^{2} = 36$

4)For pythagorean triplet the sum of other two numbers should be equal to the square of the greatest one.

${4}^{2} + {5}^{2} = 16 + 25$

=41

5)Therefore the sum of other two numbers is not equal to the square of tge greatest number.

Hence, the numbers-

4,5 & 6 are not Pythagorean Triplets