प्रश्र:- जाँच करें कि कौन सी संख्याओं का समूह पाइथागोरस त्रिक है। (6, 8, 10), (9,12 15), (5,12,13),(7,28,29)
Answers
Answer:
6,8,10 is the correct answer.
Step-by-step explanation:
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Given : (6, 8, 10), (9,12 15), (5,12,13),(7,28,29)
To Find : कौन सी संख्याओं का समूह पाइथागोरस त्रिक है
Pythagorean triplet
Solution:
Pythagorean triplet
(a,b,c)
satisfy
c² = a² + b²
where c > a,b
(6, 8, 10)
6² + 8² = 36 + 64 = 100 = 10²
Hence Pythagorean triplet
(9,12 15)
9² + 12² = 81 + 144 = 225 = 15²
Hence Pythagorean triplet
(5,12,13)
5² + 12² = 25 + 144 = 169 = 13²
Hence Pythagorean triplet
(7,28,29)
7² + 28² = 49 +784 =833 ≠ 29²
Hence NOT a Pythagorean triplet
(6, 8, 10), (9,12 15), (5,12,13), are Pythagorean triplet
(7,28,29) is Not
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