Question

write a pythagorean triplet whose one member is 32 step by step

Answer 1

Answer:

32,24,40

Step-by-step explanation:

You can make a pythagorean triplet of any even number, x, by squaring x to get x², then dividing x² by four, to get x²/4 then adding 1 to the result x²/4 +1, and then subtracting one from the result x²/4 - 1.

32² => 1024 => 1024/4 => 256 => 256 + 1 = 257, 256 - 1 = 255: 32, 255, 257

But 32/2 = 16 which is even so:

16² => 256 => 256/4 => 64 => 64 + 1 = 65, 64 - 1 = 63: 2 x ( 16, 63, 65) = 32, 126, 130

But 32/4 = 8 which is even so:

8² => 64 => 64/4 => 16 => 16 + 1 = 17, 16 - 1 = 15: 4 x ( 8, 15, 17) = 32, 60, 68

But 32/8 = 4 which is even so:

4² => 16 => 16/4 => 4 => 4 + 1 = 5, 4 - 1 = 3: 8 x ( 4, 3, 5) = 32, 24, 40

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Answer 2

32 24 40



Because

32 square + 24 square = 40 square



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