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Q.

Which of the following triplets are Pythagorean?


  1.  (3,4,5), 2. (6,7,8), 3. (10,24,26), 4. (2,3,4)

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a

1 and 3

b

2 and 4

c

1 and 4

d

3 and 4 

answer is A.

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Detailed Solution

Let the smaller even number be 2m.
1)                  (3,4,5)
Question ImageQuestion Image(3,4,5) is a Pythagorean triple.
2)                  (10,24,26)
Question ImageQuestion Image(10,24,26) is a Pythagorean triplet.
 3)                  (6,7,8)
Question ImageQuestion Image(6,7,8) is not a Pythagorean triplet.
 4)                  (2,3,4)
Question ImageQuestion Image(2,3,4) is not a Pythagorean triplet.
Hence, Option (1) is the correct answer.
 
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Which of the following triplets are Pythagorean? (3,4,5), 2. (6,7,8), 3. (10,24,26), 4. (2,3,4)