मराठी

Write a Pythagorean triplet whose smallest member is 8. -

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प्रश्न

Write a Pythagorean triplet whose smallest member is 8.
बेरीज

उत्तर

We can get Pythagorean triplets by using general form 2m, m2 - 1, m2 + 1.
m2 -  1 = 8
m2 = 8 + 1 = 9
m = 3
2m = 6 and m2 + 1 = 10
The triplet is thus 6, 8, 10. But 8 is not the smallest member of this.
2m = 8
m = 4
m2 – 1 = 16 – 1 = 15
m2 + 1 = 16 + 1 = 17
The triplet is 8, 15, 17 with 8 as the smallest member.
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