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

This math topic focuses on applying the Pythagorean theorem to find missing lengths of a right triangle, using decimal values for calculation. It requires students to practice solving for the hypotenuse by inserting given leg lengths into the theorem \(a^2 + b^2 = c^2\) and approximating the value of 'c'. The problems include different combinations of numbers, enhancing familiarity with square and square root operations as well as reinforcing foundational Pythagorean theorem concepts. Multiple-choice answers are provided for each question to test the student's ability to compute and select the correct approximate value.

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

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

Math worksheet on 'Pythagorean Equation from Squares - 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 = 2.6

b

c = 2.5

c

c = 3.3

d

c = 7.5

e

c = 1.6

f

c = 5

2

Approximate the value of 'c' in this equation

a

c = 1

b

c = 3.6

c

c = 5

d

c = 1.1

e

c = 5.3

f

c = 1.9

3

Approximate the value of 'c' in this equation

a

c = 9.3

b

c = 12

c

c = 6.8

d

c = 1

e

c = 4.3

f

c = 8.5

4

Approximate the value of 'c' in this equation

a

c = 5.8

b

c = 4.2

c

c = 15

d

c = 2.5

e

c = 3.3

f

c = 1.6

5

Approximate the value of 'c' in this equation

a

c = 5.1

b

c = 4.2

c

c = 3.4

d

c = 1

e

c = 2.6

f

c = 6

6

Approximate the value of 'c' in this equation

a

c = 8.8

b

c = 9.6

c

c = 2.9

d

c = 3.7

e

c = 7.1

f

c = 25

7

Approximate the value of 'c' in this equation

a

c = 4.5

b

c = 10

c

c = 2

d

c = 7.9

e

c = 5.4

f

c = 1.2