Three numbers form a Pythagorean triple if the *square* of the two *smaller* numbers add to be the *square* of the *largest* number.
Put your numbers in order: 7, 24, 25
Now square each one:
7² = 49
24² = 576
25² = 625
Notice:
7² + 24² = 25²
49 + 576 = 625
So 7, 24 and 25 do form a Pythagorean triple.
Here's a list of Pythagorean triples under 100:
(3, 4, 5)
(5, 12, 13)
(7, 24, 25) <--- Here's yours
(8, 15, 17)
(9, 40, 41)
(11, 60, 61)
(12, 35, 37)
(13, 84, 85)
(16, 63, 65)
(20, 21, 29)
(28, 45, 53)
(33, 56, 65)
(36, 77, 85)
(39, 80, 89)
(48, 55, 73)
(65, 72, 97)
2007-01-02 12:21:54
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answer #1
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answered by Puzzling 7
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It is
a² = b² +c² ==> a = 25; b = 24; c = 7
25² = 24² + 7²
625 = 576 + 49
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2007-01-02 20:17:18
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answer #2
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answered by aeiou 7
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7^2 = 49
24^12 = 576
49 + 576 = 625
sqrt(625) = 25
Yes, it is a pythagorean triple
2007-01-02 20:17:04
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answer #4
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answered by Tom :: Athier than Thou 6
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