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Verity that the following numbers represent Pythagorean triplet:(i) 12, 35, 37(ii) 7, 24, 25(iii) 27, 36, 45(iv) 15, 36, 39 |
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Answer» (i) The condition for Pythagorean triplet is the square of the largest side is equal to the sum of the squares of the other two sides. 372 =1369 122 + 352 = 144 + 1225 = 1369 122 + 352 = 372 Yes, they represent a Pythagorean triplet. (ii) The condition for Pythagorean triplet is the square of the largest side is equal to the sum of the squares of the other two sides. 252 = 625 72 + 242 = 49 + 576 = 625 72 + 242 = 252 Yes, they represent a Pythagorean triplet. (iii) The condition for Pythagorean triplet is the square of the largest side is equal to the sum of the squares of the other two sides. 452 = 2025 272 + 362 = 729 + 1296 = 2025 272 + 362 = 452 Yes, they represent a Pythagorean triplet. (iv) The condition for Pythagorean triplet is the square of the largest side is equal to the sum of the squares of the other two sides. 392 = 1521 152 + 362 = 225 + 1296 = 1521 152 + 362 = 392 Yes, they represent a Pythagorean triplet. |
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