Pythagorean Triple Pairs - Solve Hypotenuse (Level 1)

This math topic focuses on solving for the hypotenuse using the concept of Pythagorean triples and properties of similar triangles. It includes a series of problems where participants must determine the lengths of missing sides in triangles, guided by the principle that corresponding sides of similar triangles are proportional. The difficulty level is introductory, making it suitable as a starting point for learning about Pythagorean triples. Each question provides a graphical representation of the triangles involved, aiding in visual understanding and computation.

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

Pythagorean Triple Pairs - Solve Hypotenuse Worksheet

Math worksheet on 'Pythagorean Triple Pairs - Solve Hypotenuse (Level 1)'. 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

18

b

6

c

22

d

32

e

20

f

12

2

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

a

13

b

5

c

25

d

43

e

41

f

33

3

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

a

23

b

39

c

25

d

19

e

33

f

43

4

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

a

20

b

4

c

22

d

8

e

30

f

24

5

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

a

19

b

7

c

18

d

24

e

5

f

15

6

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

a

9

b

11

c

29

d

25

e

21

f

33

7

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

a

25

b

19

c

13

d

21

e

27

f

11