which of the following triplets are Pythagorean
(3,4,5)(6,7,8)(10,24,26)(2,3,4)
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Answered by
4
3,4,5.
10,24,26
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Answered by
7
HEY MATE YOUR ANSWER IS HERE..
1) (3,4,5)
EXPLAINATION :
![{5}^{2} = 25 - - - - - - - 1 \\ \\ {3}^{2} + {5}^{2} = 9 + 16 \\ \: \: \: \: \: = 25 - - - - - - - 2 \\ \\ from \: 1 \: and \: 2 \\ \\ {5}^{2} = {4}^{2} + {3}^{2} \\ \\ by \: converse \: of \: pythagoras \\ theorem \\ \\ it \: is \: a \: pythagorean \: triplet {5}^{2} = 25 - - - - - - - 1 \\ \\ {3}^{2} + {5}^{2} = 9 + 16 \\ \: \: \: \: \: = 25 - - - - - - - 2 \\ \\ from \: 1 \: and \: 2 \\ \\ {5}^{2} = {4}^{2} + {3}^{2} \\ \\ by \: converse \: of \: pythagoras \\ theorem \\ \\ it \: is \: a \: pythagorean \: triplet](https://tex.z-dn.net/?f=+%7B5%7D%5E%7B2%7D+%3D+25+-+-+-+-+-+-+-+1+%5C%5C+%5C%5C+%7B3%7D%5E%7B2%7D+%2B+%7B5%7D%5E%7B2%7D+%3D+9+%2B+16+%5C%5C+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%3D+25+-+-+-+-+-+-+-+2+%5C%5C+%5C%5C+from+%5C%3A+1+%5C%3A+and+%5C%3A+2+%5C%5C+%5C%5C+%7B5%7D%5E%7B2%7D+%3D+%7B4%7D%5E%7B2%7D+%2B+%7B3%7D%5E%7B2%7D+%5C%5C+%5C%5C+by+%5C%3A+converse+%5C%3A+of+%5C%3A+pythagoras+%5C%5C+theorem+%5C%5C+%5C%5C+it+%5C%3A+is+%5C%3A+a+%5C%3A+pythagorean+%5C%3A+triplet)
2) (10,24,26)
EXPLAINATION :
![{26}^{2} = 676 - - - - - - - - 1 \\ \\ {10}^{2} + {24}^{2} = 100 + 576 \\ \: \: \: \: \: \: \: \: \: = 676 - - - - - - - - 2 \\ \\ from \: 1 \: and \: 2 \\ \\ {26}^{2} = {10}^{2} + {24}^{2} \\ \\ by \: converse \: of \: pythagoras \: theorem \: \\ it \: is \: a \: pythagorean \: triplet {26}^{2} = 676 - - - - - - - - 1 \\ \\ {10}^{2} + {24}^{2} = 100 + 576 \\ \: \: \: \: \: \: \: \: \: = 676 - - - - - - - - 2 \\ \\ from \: 1 \: and \: 2 \\ \\ {26}^{2} = {10}^{2} + {24}^{2} \\ \\ by \: converse \: of \: pythagoras \: theorem \: \\ it \: is \: a \: pythagorean \: triplet](https://tex.z-dn.net/?f=+%7B26%7D%5E%7B2%7D+%3D+676+-+-+-+-+-+-+-+-+1+%5C%5C+%5C%5C+%7B10%7D%5E%7B2%7D+%2B+%7B24%7D%5E%7B2%7D+%3D+100+%2B+576+%5C%5C+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%3D+676+-+-+-+-+-+-+-+-+2+%5C%5C+%5C%5C+from+%5C%3A+1+%5C%3A+and+%5C%3A+2+%5C%5C+%5C%5C+%7B26%7D%5E%7B2%7D+%3D+%7B10%7D%5E%7B2%7D+%2B+%7B24%7D%5E%7B2%7D+%5C%5C+%5C%5C+by+%5C%3A+converse+%5C%3A+of+%5C%3A+pythagoras+%5C%3A+theorem+%5C%3A+%5C%5C+it+%5C%3A+is+%5C%3A+a+%5C%3A+pythagorean+%5C%3A+triplet)
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1) (3,4,5)
EXPLAINATION :
2) (10,24,26)
EXPLAINATION :
HOPE IT HELPS YOU OUT. PLEASE MARK ME AS BRAINLIEST
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