Pythagorean Triples - Length of Side (Level 3)

This math topic focuses on practicing the Pythagorean theorem to find the length of missing sides in right triangles. The problems require calculating the missing side lengths expressed as decimal values. Each problem is presented with a visual diagram of a triangle, and students are asked to use the Pythagorean theorem, involving the relationship \(a^2 + b^2 = c^2\), to resolve these problems. There are multiple such problems provided to reinforce understanding and application of this geometric principle.

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

Pythagorean Triples - Length of Side Worksheet

Math worksheet on 'Pythagorean Triples - Length of Side (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 as a decimal value based on the Pythagorean theorem

a

48

b

21

c

24

d

29

e

27

f

28

2

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

22

b

13

c

20

d

240

e

16

f

8

3

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

31

b

24

c

34

d

29

e

14

f

26

4

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

17

b

48

c

34

d

24

e

31

f

25

5

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

540

b

29

c

27

d

22

e

19

f

24

6

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

24

b

34

c

19

d

26

e

260

f

27

7

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

24

b

31

c

22

d

17

e

36

f

14