Pythagorean Theorem - Length of Side (Radical) (Level 1)

This math topic focuses on the application of the Pythagorean theorem to find the length of a missing side of a triangle, expressed in radical form (i.e., square roots). It serves as an introductory exploration into the Pythagorean theorem, aiming to deepen understanding of the relationship between the sides of right-angled triangles. The problems presented require students to calculate and express answers as radicals, bolstering their skills in both geometry and algebraic manipulation. Each question features a diagram of a right triangle with dimensions provided, prompting the student to solve for the unknown side.

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

Pythagorean Theorem - Length of Side (Radical) Worksheet

Math worksheet on 'Pythagorean Theorem - Length of Side (Radical) (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 square root value, based on the Pythagorean theorem

a

b

c

d

2

Find the length of the missing side as a square root value, based on the Pythagorean theorem

a

b

c

d

3

Find the length of the missing side as a square root value, based on the Pythagorean theorem

a

b

c

d

e

4

Find the length of the missing side as a square root value, based on the Pythagorean theorem

a

b

c

d

5

Find the length of the missing side as a square root value, based on the Pythagorean theorem

a

b

c

6

Find the length of the missing side as a square root value, based on the Pythagorean theorem

a

b

c

d

7

Find the length of the missing side as a square root value, based on the Pythagorean theorem

a

b

c