Pythagorean Triples Worksheet

Explore Pythagorean Triples and their properties with this Grade 10 math worksheet, including identification, generation, and application in right triangles.

Grade 10 Math GeometryPythagorean Triples

Use This Worksheet

Includes

Multiple ChoiceFill in the Blanks2 Short AnswerCustomTrue / FalseWord Bank

Standards

CCSS.MATH.CONTENT.8.G.B.7CCSS.MATH.CONTENT.HSG.SRT.C.8

Topics

MathGeometryPythagorean TriplesGrade 10

9 sections · Free to use · Printable

← More Math worksheets for Grade 10

Pythagorean Triples

Name:

Date:

Score:

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.

hypotenuse

legs

primitive

square

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.