Question

Which of the following is not a
Pythagorean triplet?
1 6,8,10
2 10,26,24
3 9,12,15
4 2,5,7
​

Answer 1

Answer:

as to find any Pythagorean triplet follow these steps

make square of bigger number between that given 3 numbers .make square of left two numbers and add them. by following these process .

therefore the answer is 2,5,u

Answer 2

Question :-

Which of the following is not a

Pythagorean triplet?

1. 6,8,10
2. 10,26,24
3. 9,12,15
4. 2,5,7

Answer :-

In a Pythagorean triplet,

The three terms will be as follows :-

• 2m
• m² - 1
• m² + 1

2m is the smallest number.

Let us look at the options one by one

Option 1 :-

6,8,10

6 is the smallest number here.

Hence,

2m = 6

Transposing 2 to the other side,

$m = \dfrac{6}{2}$

m = 3

Substituting this value for the other 2 numbers,

m² - 1

=≥ (3)² - 1

=≥ 9 - 1

=≥ 8

m² + 1

=≥ (3)² + 1

=≥ 9 + 1

=≥ 10

All the values are matching. Therefore option (1) is a Pythagorean triplet.

Option 2 :-

10,26,24

10 is the smallest number here.

2m = 10

Transposing 2 to the other side,

$m = \dfrac{10}{2}$

m = 5

Substituting this value for the other 2 numbers,

m² - 1

=≥ (5)² - 1

=≥ 25 - 1

=≥ 24

m² + 1

=≥ (5)² + 1

=≥ 25 + 1

=≥ 26

All the values are matching. Option (2) is a Pythagorean triplet.

Option 3 :-

9,12,15

9 is the smallest number here.

2m = 9

Transposing 2 to the other side,

$m = \dfrac{9}{2}$

Here m is not taking a value of a whole number. Hence the Pythagorean triplet cannot be formed.

Option (3) is not a Pythagorean triplet.

Option 4 :-

2,5,7

2 is the smallest number here.

2m = 2

Transposing 2 to the other side,

$m = \dfrac{2}{2}$

m = 1

Substituting this value for the other 2 numbers,

m² - 1

=≥ (1)² - 1

=≥ 1 - 1

=≥ 0

m² + 1

=≥ (1)² + 1

=≥ 1 + 1

=≥ 2

Notice that the values are not matching, hence it does not form a Pythagorean triplet.

Option (4) does not form a Pythagorean triplet.

By the above the observations, we can conclude that Options (1) and (2) form the Pythagorean triplet while Options (3) and (4) don't.