Pythagorean Triples - Either Missing Length - Labelled Sides (Level 1)

This math topic focuses on applying the Pythagorean theorem to find the missing sides of right triangles. Each problem requires students to calculate missing lengths, using either integer or decimal answers, based on the familiar geometric formula \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse. The problems are labeled and include direct applications of the theorem to find the specific side, whether it is the shorter side (a or b) or the hypotenuse (c). This helps in reinforcing the understanding of triangle geometry and the relationship between the sides of right triangles.

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

Pythagorean Triples - Either Missing Length - Labelled Sides Worksheet

Math worksheet on 'Pythagorean Triples - Either Missing Length - 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

3

b

5

c

8

d

1

e

7

f

2

2

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

a

15

b

12

c

24

d

11

e

10

f

8

3

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

a

13

b

65

c

15

d

10

e

12

f

9

4

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

a

4

b

6

c

8

d

2

e

5

f

3

5

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

a

12

b

11

c

135

d

10

e

24

f

14

6

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

a

12

b

7

c

2

d

5

e

3

f

6

7

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

a

1

b

4

c

3

d

15

e

5

f

2