Pythagorean Equation from Variables - Either Missing Length (Decimal) (Level 1)

This math topic focuses on applying the Pythagorean theorem to solve for missing lengths (denoted by variable 'c') in right triangles, where the lengths are expressed in decimals. It practices the skill of substituting known side lengths (variables 'a' and 'b') into the Pythagorean equation \(a^2 + b^2 = c^2\) and calculating the approximate value of the hypotenuse 'c'. Each problem provides a different set of values for 'a' and 'b' and multiple-choice answers for 'c', emphasizing computational skills and understanding of the geometric relationship in the context of right triangles.

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

Pythagorean Equation from Variables - Either Missing Length (Decimal) Worksheet

Math worksheet on 'Pythagorean Equation from Variables - Either Missing Length (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 = 8.9

b

c = 6.4

c

c = 8.1

d

c = 5.6

e

c = 2.2

f

c = 3.9

2

Approximate the value of 'c' in this equation

a

c = 7

b

c = 2.2

c

c = 3.6

d

c = 4.4

e

c = 5

f

c = 1

3

Approximate the value of 'c' in this equation

a

c = 7.1

b

c = 10.4

c

c = 3.7

d

c = 8.8

e

c = 4.6

f

c = 7.9

4

Approximate the value of 'c' in this equation

a

c = 1.6

b

c = 5.8

c

c = 3.3

d

c = 4

e

c = 9.2

f

c = 7.5

5

Approximate the value of 'c' in this equation

a

c = 2.6

b

c = 1

c

c = 5

d

c = 2.5

e

c = 8.4

f

c = 6.7

6

Approximate the value of 'c' in this equation

a

c = 3.9

b

c = 20

c

c = 2.2

d

c = 8.1

e

c = 6.4

f

c = 9

7

Approximate the value of 'c' in this equation

a

c = 4.2

b

c = 3.4

c

c = 1.7

d

c = 5.9

e

c = 6

f

c = 2.6