Find the missing number to make 12 , ? , 37 a pythagorean triplet
33
34
35
36
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3
Answer:
35 is a correct answer...
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✪ Question ✪
Find the missing number to make 12 , ? , 37 a pythagorean triplet.
(a) 33
(b) 34
(c) 35
(d) 36
✪ To find ✪
The missing number.
✪ Pythagorean Triplet ✪
A Pythagorean triplet with m
= {2m, (m²-1), (m²+1)}
✪ Solution ✪
12 is the smallest member of the triplet.
According to the triplet with m,
2m = 12
So,
2m = 12
⇒ m = 12/2
⇒ m = 6
So, the triplet with 12
= {(2×6), (6²-1), (6²+1)}
= {12, (36-1), (36+1)}
= (12, 35, 37)
✪ Hence ✪
The triplet = (12, 35, 37)
So, the missing number = 35
✪ Therefore ✪
The missing number is 35.
So, the correct option is (c) 35.
๑ Hope this helps you. ๑
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