Pythagorean Theorem - Either Missing Length - Labelled Sides (Decimal) (Level 1)

This math topic focuses on utilizing the Pythagorean Theorem to find missing side lengths of triangles, specifically applying decimal calculations. Each problem provides a triangle with sides labeled in decimal values, and students are tasked with calculating the unknown side using the formula \(a^2 + b^2 = c^2\), where \(c\) represents the hypotenuse when applicable. This introductory level of problems enhances understanding of the Pythagorean relationship and strengthens skills in working with squares and square roots in the context of geometry.

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

Pythagorean Theorem - Either Missing Length - Labelled Sides (Decimal) Worksheet

Math worksheet on 'Pythagorean Theorem - Either Missing Length - Labelled Sides (Decimal) (Level 1)'. Part of a broader unit on 'Pythagoras - Intro' Learn online: app.mobius.academy/math/units/pythagoras_intro/

1

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

a

4.33

b

8.66

c

4.66

d

7.79

e

10.39

f

9.75

2

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

a

36

b

8.77

c

8.06

d

7.26

e

7.06

f

8.87

3

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

a

4.47

b

4.02

c

5.37

d

3.47

e

5.81

f

7.47

4

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

a

11.03

b

11.88

c

10.68

d

8.49

e

5.49

f

10.49

5

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

a

8

b

6

c

5

d

60

e

12

f

6.4

6

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

a

6.4

b

9.76

c

9

d

4.72

e

8.08

f

3.88

7

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

a

4.55

b

2.87

c

1.19

d

6.23

e

5.39

f

4.58