Pythagorean Triples Worksheet
Explore and identify Pythagorean Triples with this Grade 8 math worksheet, including identification, verification, and application problems.
Includes
Standards
Topics
Pythagorean Triples
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which set of numbers forms a Pythagorean Triple?
2, 3, 4
5, 12, 13
6, 8, 9
7, 10, 12
2. If the two shorter sides of a right triangle are 8 and 15, what is the length of the hypotenuse?
16
17
18
19
3. A set of three positive integers a, b, and c, such that a² + b² = c², is known as a .
4. The longest side of a right triangle is called the .
5. Verify if the set of numbers (9, 40, 41) forms a Pythagorean Triple. Explain your reasoning.
6. All multiples of a Pythagorean Triple are also Pythagorean Triples.
True
False
7. A ladder is 10 feet long and leans against a wall. If the base of the ladder is 6 feet from the wall, how high up the wall does the ladder reach? Draw a diagram to illustrate the situation.