Pythagorean Triples Worksheet
Explore Pythagorean Triples and their properties with this Grade 10 math worksheet, including identification, generation, and application in right triangles.
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Pythagorean Triples
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Which of the following sets of numbers forms a Pythagorean Triple?
3, 4, 6
5, 12, 13
7, 8, 9
4, 5, 6
2. A Pythagorean Triple consists of three positive integers a, b, and c, such that a² + b² = .
3. The most common primitive Pythagorean Triple is , , .
4. Verify if the numbers 8, 15, and 17 form a Pythagorean Triple. Show your work.
5. Consider a right-angled triangle with legs of length 9 cm and 12 cm. Find the length of the hypotenuse. Is this a Pythagorean Triple?
6. All multiples of a Pythagorean Triple are also Pythagorean Triples.
True
False
7. A ladder 25 feet long is leaning against a wall. The base of the ladder is 7 feet from the wall. How high up the wall does the ladder reach? Is this a Pythagorean Triple?
Use the words below to complete the sentences.
8. In a right-angled triangle, the longest side is called the .
9. A Pythagorean Triple is one where the three integers have no common divisor other than 1.
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