Pythagorean Triples - Length of Hypotenuse - Labelled Sides (Level 1)

This math topic focuses on applying the Pythagorean theorem, specifically identifying Pythagorean triples and calculating the length of the hypotenuse or a leg in a right triangle. Each problem presents triangles with labelled sides, requiring participants to calculate the length of the missing side using the relationship \(a^2 + b^2 = c^2\). Students will determine these values and convert their answers into decimal form, reinforcing their understanding of geometry and algebra in the process.

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

Pythagorean Triples - Length of Hypotenuse - Labelled Sides Worksheet

Math worksheet on 'Pythagorean Triples - Length of Hypotenuse - Labelled Sides (Level 1)'. Part of a broader unit on 'Pythagorean Triples - Intro' Learn online: app.mobius.academy/math/units/pythagoras_triples_intro/

1

Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²

a

16

b

15

c

14

d

11

e

17

f

12

2

Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²

a

3

b

1

c

12

d

7

e

4

f

5

3

Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²

a

12

b

2

c

5

d

8

e

3

f

7

4

Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²

a

12

b

15

c

21

d

13

e

108

f

18

5

Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²

a

5

b

6

c

8

d

3

e

12

f

2

6

Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²

a

9

b

14

c

15

d

13

e

60

f

10

7

Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²

a

8

b

4

c

5

d

2

e

3

f

7