Question

Find a Pythagorean triplet in which one member is 12.​

Answer 1

Answer:

The triplet is 12, 35, 37

Step-by-step explanation:

We know that,

2m, m² - 1, m² + 1 form pythagorean triplet

So,

★ 2m :

⇒ 2m = 12

⇒ m = 12 / 2

⇒ m = 6

.°. 2m = 12

_________________________

★ m² - 1 :

⇒ (6)² - 1

⇒ 36 - 1

⇒ 35

_______________________

★ m² + 1 :

⇒ (6)² + 1

⇒ 36 + 1

⇒ 37

Therefore,

The triplet is 12, 35,37

★ Verification :

⇒ (37)² = (12)² + (35)²

⇒ 1369 = 144 + 1225

⇒ 1369 = 1369

Answer 2

Answer

We have to find the Pythagorean triplet

Solution

Pythagoras triplets are of the form 2m, m² -1 and m² + 1.

It is given that the one number is 12

So, 2m = 12.

m = 6

Now,

second number = m² -1 = 6² – 1 = 36-1=35

third number = m² + 1 = 6² + 1 = 36+1 =37

Hence, the triplet is 12, 35 and 37.

Answer

Therefore, The Pythagorean triplet whose one number is 12 is 12,35,37.

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