Pythagorean Triples - Example to Set of Side Lengths (Level 2)

This math topic covers problems related to identifying sets of integer side lengths that form right triangles, known as Pythagorean triples. Each problem presents a scenario requiring learners to determine possible sets of three integers which satisfy the condition \(a^2 + b^2 = c^2\), where 'c' is the hypotenuse. The exercise is structured as multiple-choice across seven questions, enhancing understanding of the Pythagorean theorem in practical applications.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Pythagorean Triples - Example to Set of Side Lengths Worksheet

Math worksheet on 'Pythagorean Triples - Example to Set of Side Lengths (Level 2)'. Part of a broader unit on 'Pythagoras - Practice' Learn online: app.mobius.academy/math/units/pythagoras_practice/

1

Find another set of integer side lengths for a right triangle

a

11, 16, 20

b

20, 48, 52

c

19, 44, 55

d

24, 51, 53

e

21, 48, 55

f

21, 47, 56

2

Find another set of integer side lengths for a right triangle

a

13, 38, 40

b

18, 40, 40

c

15, 36, 39

d

22, 36, 36

e

17, 34, 37

f

10, 31, 39

3

Find another set of integer side lengths for a right triangle

a

6, 8, 10

b

11, 11, 11

c

1, 1, 6

d

10, 10, 10

e

5, 7, 11

f

4, 6, 12

4

Find another set of integer side lengths for a right triangle

a

21, 63, 67

b

23, 57, 66

c

25, 60, 65

d

24, 56, 69

e

28, 60, 64

f

23, 61, 67

5

Find another set of integer side lengths for a right triangle

a

21, 46, 48

b

20, 48, 52

c

17, 45, 52

d

23, 48, 50

e

16, 39, 41

f

15, 49, 53

6

Find another set of integer side lengths for a right triangle

a

6, 10, 13

b

7, 7, 12

c

11, 11, 16

d

9, 12, 15

e

4, 9, 14

f

8, 9, 17

7

Find another set of integer side lengths for a right triangle

a

13, 19, 26

b

15, 20, 25

c

12, 15, 20

d

17, 20, 26

e

17, 22, 23

f

1, 4, 6