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

This math topic focuses on identifying sets of integer side lengths for right triangles, specifically investigating Pythagorean triples that are scaled examples. It advances understanding of the Pythagorean theorem by applying it to find whole-number side lengths that satisfy the relationship a² + b² = c², where c represents the hypotenuse. Each problem presents an image, possibly a triangle, and requires finding a right triangle's side lengths that form a Pythagorean triple. Several possible answers are listed for each question, emphasizing the practical application of theory in geometrical contexts.

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

Pythagorean Triples - Example to Set of Side Lengths (Scaled) Worksheet

Math worksheet on 'Pythagorean Triples - Example to Set of Side Lengths (Scaled) (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

26, 44, 49

b

27, 47, 52

c

21, 46, 55

d

24, 41, 50

e

22, 40, 54

f

24, 45, 51

2

Find another set of integer side lengths for a right triangle

a

14, 38, 38

b

19, 37, 37

c

13, 34, 40

d

15, 36, 39

e

19, 36, 43

f

17, 35, 41

3

Find another set of integer side lengths for a right triangle

a

13, 32, 34

b

16, 30, 34

c

11, 26, 35

d

20, 32, 33

e

11, 26, 31

f

19, 25, 35

4

Find another set of integer side lengths for a right triangle

a

63, 67, 89

b

63, 64, 89

c

60, 60, 84

d

59, 67, 87

e

58, 62, 86

f

60, 63, 87

5

Find another set of integer side lengths for a right triangle

a

18, 69, 75

b

16, 68, 71

c

18, 75, 77

d

21, 67, 72

e

21, 72, 75

f

18, 74, 75

6

Find another set of integer side lengths for a right triangle

a

16, 49, 50

b

6, 43, 46

c

10, 50, 50

d

10, 43, 47

e

12, 43, 50

f

14, 48, 50

7

Find another set of integer side lengths for a right triangle

a

40, 43, 60

b

39, 46, 54

c

40, 42, 58

d

44, 46, 57

e

35, 42, 58

f

34, 34, 51