Pythagorean Triples

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What is a Pythagorean Triple?

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A set of three positive integers (a, b, c) that satisfy the equation a² + b² = c².

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CCSS.8.G.B.8

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Identify a Pythagorean Triple: 3, 4, 5

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This is a Pythagorean Triple because 3² + 4² = 5² (9 + 16 = 25).

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CCSS.8.G.B.8

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Identify a Pythagorean Triple: 6, 8, 10

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This is a Pythagorean Triple because 6² + 8² = 10² (36 + 64 = 100).

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CCSS.8.G.B.8

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Identify a Pythagorean Triple: 8, 15, 17

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This is a Pythagorean Triple because 8² + 15² = 17² (64 + 225 = 289).

Tags

CCSS.8.G.B.8

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Which of the following is NOT a Pythagorean Triple: 17, 24, 25?

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17, 24, 25 is NOT a Pythagorean Triple because 17² + 24² ≠ 25² (289 + 576 ≠ 625).

Tags

CCSS.8.G.B.8

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What is the formula to check if (a, b, c) is a Pythagorean Triple?

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Check if a² + b² = c².

Tags

CCSS.8.G.B.8

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Provide an example of a Pythagorean Triple involving 12.

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An example is 5, 12, 13 because 5² + 12² = 13² (25 + 144 = 169).

Tags

CCSS.8.G.B.8

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What is the smallest Pythagorean Triple?

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The smallest Pythagorean Triple is 3, 4, 5.

Tags

CCSS.8.G.B.8

Front

Identify a Pythagorean Triple: 5, 12, 13

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This is a Pythagorean Triple because 5² + 12² = 13² (25 + 144 = 169).

Tags

CCSS.8.G.B.8

Front

Identify a Pythagorean Triple: 7, 14, 15

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7, 14, 15 is NOT a Pythagorean Triple because 7² + 14² ≠ 15² (49 + 196 ≠ 225).

Tags

CCSS.8.G.B.8