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Pythagorean triplet with 12 3 case method solution |
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Answer» Answer: Step-by-step explanation:How to Form a Pythagorean TRIPLET If the number is odd: Square the number N and then DIVIDE it by 2. Take the integer that is immediately before and after that number i.e. (N2/2 -0.5) and (N2/2 +0.5). Pythagorean triplet= N, (N2/2 -0.5), (N2/2 +0.5) EXAMPLE: Take number N=3. On squaring the number, we get 9. Now take the half of it. 9/2= 4.5 The integer immediately before 4.5= 4; the integer immediately after 4.5= 5 Therefore, the triplet is 3, 4, 5. If the number is even: Take the half of that number N and then square it. Pythagorean triplet= N, (N/2)2-1, (N/2)2+1 Example: Take number N=8 Half of N=4. Pythagorean triplet= 8, (42-1), (42+1) i.e. 8, 15, 17 Note: If a, b, C is a Pythagorean triplet, then ka, kb, kc will also form a Pythagorean triplet; where k |
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