Pythagorean Equation from Values - Length of Hypotenuse (Decimal) (Level 1)

This math topic focuses on the application of the Pythagorean theorem to solve for the hypotenuse 'c' in right triangles. Each problem provides the sum of the squares of the two shorter sides (legs) and presents multiple choices to identify the correct length of the hypotenuse as a decimal value. The specific skill practiced is solving the equation \( a^2 + b^2 = c^2 \) to deduce the value of \( c \) after taking the square root of the sum \( a^2 + b^2 \). This is foundational to understanding Pythagoras’ theorem.

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

Pythagorean Equation from Values - Length of Hypotenuse (Decimal) Worksheet

Math worksheet on 'Pythagorean Equation from Values - Length of Hypotenuse (Decimal) (Level 1)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/

1

Approximate the value of 'c' in this equation

a

c = 2.3

b

c = 9

c

c = 5.7

d

c = 3.1

e

c = 4.8

f

c = 1.5

2

Approximate the value of 'c' in this equation

a

c = 7.8

b

c = 9.5

c

c = 3.3

d

c = 7

e

c = 5.3

f

c = 4.5

3

Approximate the value of 'c' in this equation

a

c = 8.1

b

c = 7.2

c

c = 4.7

d

c = 6.4

e

c = 5.6

f

c = 3.9

4

Approximate the value of 'c' in this equation

a

c = 8.1

b

c = 6.4

c

c = 3

d

c = 7.2

e

c = 9.8

f

c = 2.2

5

Approximate the value of 'c' in this equation

a

c = 6

b

c = 5.9

c

c = 1

d

c = 3.4

e

c = 7.6

f

c = 4.2

6

Approximate the value of 'c' in this equation

a

c = 3.8

b

c = 8

c

c = 6.3

d

c = 9.7

e

c = 8.8

f

c = 5.5

7

Approximate the value of 'c' in this equation

a

c = 2.5

b

c = 7.5

c

c = 1

d

c = 7

e

c = 5

f

c = 1.6