Question

Which one is Pythagorean triplet .

(2,4,6)


(3,5,7)


(3,4,5)


All of the above​

Answer 1

Answer:

(3,4,5)

Step-by-step explanation:

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².

3²+4²=5²

3*3+4*4=5*5

9+16=25

25=25

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Answer 2

Answer -

• The correct option is (3,4,5).

To find -

• Which one is a Pythagorean triplet.

Step-by-step explanation -

• Here, we are asked to find which one of the following is a pythagorean triplet.

1. (2,4,6)
2. (3,5,7)
3. (3,4,5)

So we will just check all the options one by one to find out our answer!

-----------------------------------------------------------

• (2,4,6)

LHS :

$\longrightarrow$ 2² + 4²

$\longrightarrow$ 4 + 16

$\longrightarrow$ 20

RHS :

$\longrightarrow$ 6²

$\longrightarrow$ 36

LHS ≠ RHS.

So, it's not a pythagorean triplet.

-------------------------------------

• (3,5,7)

LHS :

$\longrightarrow$ 3² + 5²

$\longrightarrow$ 9 + 25

$\longrightarrow$ 34

RHS :

$\longrightarrow$ 7²

LHS ≠ RHS.

So, it's not a pythagorean triplet.

-------------------------------------

• (3,4,5)

LHS :

$\longrightarrow$ 3² + 4²

$\longrightarrow$ 9 + 16

$\longrightarrow$ 25

RHS :

$\longrightarrow$ 5²

$\longrightarrow$ 25

LHS = RHS.

So, it's a pythagorean triplet.

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