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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) (v) (16, 63, 65) (vi) (12, 35, 38) |
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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 So, it is Pythagoras (ii) (18, 80, 82) L.H.S = 182 + 802 = 6724 R.H.S = 822 = 6724 L.H.S = R.H.S So, it is Pythagoras (iii) (14, 48, 51) L.H.S = 142 + 482 = 2500 R.H.S = 512 = 2601 L.H.S ≠ R.H.S So, it is not Pythagoras (iv) (10, 24, 26) L.H.S = 102 + 242 = 676 R.H.S = 262 = 676 L.H.S = R.H.S So, it is Pythagoras (v) (16, 63, 65) L.H.S = 162 + 632 = 4225 R.H.S = 652 = 4225 L.H.S = R.H.S So, it is Pythagoras (vi) (12, 35, 38) L.H.S = 122 + 352 = 1369 R.H.S = 382 = 1444 L.H.S ≠ R.H.S So, it is Pythagoras |
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