Pythagorean Equation from Variables - Length of Side (Decimal) (Level 1)

This math topic focuses on applying the Pythagorean theorem to solve for the lengths of sides in a right triangle when given decimal values. Students are required to solve equations where they must rearrange the Pythagorean formula (\(a^2 + b^2 = c^2\)) to isolate and calculate the unknown side, labeled as either 'a' or 'b'. The problems require substituting given values for two sides and computing the missing side using square roots, reinforcing foundational skills in algebraic manipulation, square roots, and spatial understanding in the context of geometry.

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

Pythagorean Equation from Variables - Length of Side (Decimal) Worksheet

Math worksheet on 'Pythagorean Equation from Variables - Length of Side (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 'b' in this equation

a

b = 1

b

b = 3.6

c

b = 1.8

d

b = 6.6

e

b = 4

f

b = 42

2

Approximate the value of 'b' in this equation

a

b = 5.3

b

b = 7.3

c

b = 4.8

d

b = 2.6

e

b = 7.4

f

b = 3.2

3

Approximate the value of 'b' in this equation

a

b = 12.3

b

b = 8.8

c

b = 11

d

b = 9.7

e

b = 5.8

f

b = 7.9

4

Approximate the value of 'b' in this equation

a

b = 2.2

b

b = 2.8

c

b = 2.5

d

b = 1.3

e

b = 6

f

b = 1.6

5

Approximate the value of 'a' in this equation

a

a = 5.3

b

a = 48

c

a = 4.8

d

a = 1

e

a = 6.9

f

a = 14

6

Approximate the value of 'b' in this equation

a

b = 4.5

b

b = 7.5

c

b = 5.5

d

b = 6.5

e

b = 8.7

f

b = 9

7

Approximate the value of 'b' in this equation

a

b = 3.3

b

b = 3

c

b = 1

d

b = 2

e

b = 20

f

b = 2.7