Pythagorean Theorem - Variable-Named Sides to Square Root Equation (Level 2)

This math topic centers on the Pythagorean theorem with variables. It teaches how to calculate the length of an unknown side of a right triangle by framing expressions using the theorem. Each problem presents a different triangle with sides named by variables, requiring the learner to substitute these into the Pythagorean equation and isolate for the unknown side. The problems are provided with multiple possible expressions as answers, where learners need to determine the correct form, emphasizing comprehension of the theorem in algebraic forms.

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

Pythagorean Theorem - Variable-Named Sides to Square Root Equation Worksheet

Math worksheet on 'Pythagorean Theorem - Variable-Named Sides to Square Root Equation (Level 2)'. Part of a broader unit on 'Pythagoras - Intro' Learn online: app.mobius.academy/math/units/pythagoras_intro/

1

Find the length of the side z as an equation based on the Pythagorean theorem

a

b

2

Find the length of the side z as an equation based on the Pythagorean theorem

a

b

3

Find the length of the side n as an equation based on the Pythagorean theorem

a

b

4

Find the length of the side d as an equation based on the Pythagorean theorem

a

b

5

Find the length of the side n as an equation based on the Pythagorean theorem

a

b

6

Find the length of the side m as an equation based on the Pythagorean theorem

a

b

7

Find the length of the side d as an equation based on the Pythagorean theorem

a

b