InterviewSolution
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InterviewSolution
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Which of the following triplets are Pythagorean?(i) (8, 15, 17)(ii) (18, 80, 82)(iii) (14, 48, 51)(iv) (10, 24, 26) |
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Answer» (i) (8, 15, 17) L.H.S = 82 + 152 = 289 R.H.S = 172 = 289 L.H.S = R.H.S ∴ The given triplet is a Pythagorean. (ii) (18, 80, 82) L.H.S = 182 + 802 = 6724 R.H.S = 822 = 6724 L.H.S = R.H.S ∴ The given triplet is a Pythagorean (iii) (14, 48, 51) L.H.S = 142 + 482 = 2500 R.H.S = 512 = 2601 L.H.S ≠ R.H.S ∴ The given triplet is not a Pythagorean. (iv) (10, 24, 26) L.H.S = 102 + 242 = 676 R.H.S = 262 = 676 L.H.S = R.H.S ∴ The given triplet is a Pythagorean. |
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