Pythagorean Triple Pairs - Solve Either (Level 3)

This math topic focuses on finding the length of missing sides of similar triangles, which is key in understanding and using the Pythagorean Theorem effectively. Each problem presents sets of similar triangles, and students are tasked with calculating the length of unspecified sides. The topic serves as an introduction to Pythagorean Triples, helping students explore and recognize patterns that form these special sets of integers. This practice is foundational for subsequent deep dives and applications in geometry, particularly in studying right triangles.

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

Pythagorean Triple Pairs - Solve Either Worksheet

Math worksheet on 'Pythagorean Triple Pairs - Solve Either (Level 3)'. Part of a broader unit on 'Pythagoras - Practice' Learn online: app.mobius.academy/math/units/pythagoras_practice/

1

Find the length of the missing side given that these are similar triangles

a

36

b

68

c

12

d

56

e

40

f

20

2

Find the length of the missing side given that these are similar triangles

a

61

b

34

c

22

d

4

e

37

f

7

3

Find the length of the missing side given that these are similar triangles

a

48

b

83

c

38

d

28

e

58

f

88

4

Find the length of the missing side given that these are similar triangles

a

9

b

13

c

15

d

6

e

8

f

1

5

Find the length of the missing side given that these are similar triangles

a

87

b

63

c

103

d

47

e

23

f

39

6

Find the length of the missing side given that these are similar triangles

a

6

b

13

c

10

d

12

e

5

f

1

7

Find the length of the missing side given that these are similar triangles

a

69

b

41

c

13

d

17

e

49

f

45