Pythagorean Triples Worksheet
Explore and identify Pythagorean triples through various exercises and problem-solving.
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Pythagorean Triples Practice
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. Determine if the following sets of numbers form a Pythagorean triple. Show your work.
a) 6, 8, 10
b) 5, 12, 13
c) 7, 9, 12
2. Find the missing side length to form a Pythagorean triple. Round to the nearest tenth if necessary.
a) 9, 12,
b) 8, , 17
c) , 24, 26
3. Which of the following is NOT a Pythagorean triple?
3, 4, 5
7, 24, 25
10, 15, 20
20, 21, 29
4. A right triangle has legs of length 15 and 20. Is its hypotenuse part of a Pythagorean triple? Explain your answer.
5. A ladder is 25 feet long and leans against a wall. If 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?
6. Indicate whether each statement is True or False.
a) All multiples of a Pythagorean triple are also Pythagorean triples.
True
False
b) A set of three integers (a, b, c) is a Pythagorean triple if a² + b² = c².
True
False
7. Describe how you can generate your own Pythagorean triples.