SOLUTION: 1. Which set of numbers represents a Pythagorean triple? (1 point) 6, 9, 12 7, 10, 12 16, 18, 25 27, 36, 45

Algebra ->  Pythagorean-theorem -> SOLUTION: 1. Which set of numbers represents a Pythagorean triple? (1 point) 6, 9, 12 7, 10, 12 16, 18, 25 27, 36, 45      Log On


   



Question 666629: 1. Which set of numbers represents a Pythagorean triple? (1 point)
6, 9, 12
7, 10, 12
16, 18, 25
27, 36, 45

Found 3 solutions by swincher4391, Alan3354, MathLover1:
Answer by swincher4391(1107) About Me  (Show Source):
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6^2 + 9^2 =? 12^2
36 + 81 =? 144 NO.
7^2 + 10^2 =? 12^2
49 + 100 =? 144 NO.
16^2 + 18^2 =? 25^2
256 + 324 =? 625 NO.
27^2 + 36^2 =? 45^2
729 + 1296 =? 2025 Yes.
(27,36,45) is a Pythagorean Triple.

Answer by Alan3354(69443) About Me  (Show Source):
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1. Which set of numbers represents a Pythagorean triple? (1 point)
6, 9, 12
The sum of an odd & even number --> an odd number.
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7, 10, 12
The sum of an odd & even number --> an odd number.
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16, 18, 25
The sum of an even & even number --> an even number.
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27, 36, 45
Divide by 9 --> 3, 4, 5 triangle.

Answer by MathLover1(20849) About Me  (Show Source):
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A Pythagorean triple consists of three positive integers a, b, and c, such that c%5E2=a%5E2%2Bb%5E2, where c is hypotenuse (longest side)
6, 9, 12
12%5E2=6%5E2%2B9%5E2
144=36%2B81
144%3C%3E117.........not+this+one%0D%0A%0D%0A%7B%7B%7B7, 10, 12

12%5E2=7%5E2%2B10%5E2
144=49%2B100
144=149.........not this one


16, 18, 25

25%5E2=16%5E2%2B18%5E2
625=256%2B324
625=580.........not this one


27, 36, 45

45%5E2=27%5E2%2B36%5E2
2025=729%2B1296
2025=2025.........it is this one that represents a Pythagorean triple