which of these are Pythagorean triplets? a. 5,10,12 b. 23,20,26. c. 5,12,13. d. 20,21,29. e. 10,24,26
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Answer:
c,d,e are pythagoras triplet as on squaring the larger no it gives the sum equal to square of other 2 no.
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The solution for your problem is (c), (d) and (e)
Explanation
Pythagorean triplets means that out of the three number the sum of square of the two smaller nos. will equal to the square of the largest no.
In (c) we see that,
5² + 12² = 13²
=> 25 + 144 = 169
=> 169 = 169
Similarly in (d) we find that,
20² + 21² = 29²
=> 400 + 441 = 841
=> 841 = 841
And in (e),
10² + 24² = 26²
=> 100 + 576 = 676
=> 676 = 676
But in (a) and (b) this rule doesn't apply. Thus, they are not Pythagorean triplets.....
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