Pythagorean Theorem - Length of Hypotenuse - Labelled Sides (Radical) (Level 1)

This math topic focuses on applying the Pythagorean Theorem to find the length of the hypotenuse or other sides of a right triangle, expressed as a radical (square root) value. The problems provide diagrams of triangles with sides labeled, where students are tasked with calculating unknown side lengths using the relationship \( a^2 + b^2 = c^2 \). This is foundational for understanding distances on a Cartesian grid, an introductory concept related to distance calculation in coordinate geometry. Each question offers a visual and the precise length expression required, enhancing visual learning and algebraic manipulation skills.

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

Pythagorean Theorem - Length of Hypotenuse - Labelled Sides (Radical) Worksheet

Math worksheet on 'Pythagorean Theorem - Length of Hypotenuse - Labelled Sides (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: a² + b² = c²

a

b

2

Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²

a

b

c

3

Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²

a

b

c

4

Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²

a

b

5

Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²

a

b

6

Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²

a

b

c

7

Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²

a

b

c