Pythagorean Theorem - Length of Hypotenuse - Labelled Sides (Decimal) (Level 1)

This math topic focuses on applying the Pythagorean Theorem to find the lengths of missing sides of right-angled triangles, expressed as decimal values. Each problem requires the calculation of a side length (a, b, or c) using the relationship \(a^2 + b^2 = c^2\). The problems enhance understanding of triangle geometry and the use of the Pythagorean equation in practical scenarios, integral to the introductory concepts of Cartesian grid distances.

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

Pythagorean Theorem - Length of Hypotenuse - Labelled Sides (Decimal) Worksheet

Math worksheet on 'Pythagorean Theorem - Length of Hypotenuse - 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

8.6

b

5.24

c

6.92

d

9.44

e

4.4

f

12

2

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

a

5

b

3.32

c

5.84

d

4.16

e

7

f

2.65

3

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

a

5.66

b

3.98

c

8

d

2.3

e

8.18

f

16

4

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

a

5.94

b

21

c

9.3

d

7.62

e

4.26

f

6.78

5

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

a

4.45

b

6

c

6.97

d

3.61

e

5.29

f

2.77

6

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

a

9.22

b

7.54

c

6.7

d

5.86

e

10.9

f

42

7

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

a

10.9

b

12.58

c

5.02

d

9.22

e

6.7

f

11.74