Pythagorean Triples - Example to Set of Side Lengths (Level 3)

This math topic involves practicing the identification and use of Pythagorean triples, which are sets of three positive integers that fit the formula \(a^2 + b^2 = c^2\), describing the side lengths of a right triangle. The focus is on finding different combinations of side lengths that satisfy this condition. Each question provides a scenario and several possible integer side lengths, challenging students to determine which sets can accurately represent the sides of a right triangle. This type of problem helps to deepen understanding of the Pythagorean Theorem and its applications in geometry.

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 3)'. 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

19, 68, 77

b

18, 73, 74

c

24, 68, 79

d

21, 72, 75

e

19, 68, 79

f

22, 71, 72

2

Find another set of integer side lengths for a right triangle

a

10, 24, 26

b

6, 22, 25

c

7, 19, 29

d

5, 19, 23

e

9, 19, 30

f

3, 8, 10

3

Find another set of integer side lengths for a right triangle

a

10, 24, 26

b

6, 19, 23

c

1, 23, 29

d

6, 24, 27

e

7, 25, 25

f

5, 21, 25

4

Find another set of integer side lengths for a right triangle

a

17, 31, 33

b

18, 32, 33

c

10, 36, 36

d

14, 27, 33

e

16, 30, 34

f

20, 29, 36

5

Find another set of integer side lengths for a right triangle

a

14, 48, 50

b

16, 45, 45

c

10, 47, 52

d

8, 43, 45

e

10, 48, 50

f

14, 45, 52

6

Find another set of integer side lengths for a right triangle

a

18, 41, 43

b

17, 50, 52

c

12, 45, 47

d

14, 48, 50

e

10, 45, 52

f

11, 45, 48

7

Find another set of integer side lengths for a right triangle

a

26, 45, 55

b

22, 45, 50

c

26, 47, 50

d

24, 45, 51

e

22, 40, 53

f

25, 49, 49