Pythagorean Theorem - Variable-Named Sides to Square Equation (Level 1)

This math topic focuses on applying the Pythagorean Theorem to algebraically express the squares of sides of right triangles using variables. The learners are presented with right triangles where the sides are denoted by different variables, and they are tasked with formulating equations for the squares of specific sides based on the Pythagorean theorem. Each problem provides two possible expressions, with the correct answer representing the sum or the difference of the squares of the other two sides. This practice helps improve algebraic manipulation and understanding of geometrical relationships in triangles.

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

Pythagorean Theorem - Variable-Named Sides to Square Equation Worksheet

Math worksheet on 'Pythagorean Theorem - Variable-Named Sides to Square Equation (Level 1)'. Part of a broader unit on 'Pythagoras - Intro' Learn online: app.mobius.academy/math/units/pythagoras_intro/

1

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

a

b

2

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

a

b

3

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

a

b

4

Find the square of side x as an equation based on the Pythagorean theorem

a

b

5

Find the square of side p as an equation based on the Pythagorean theorem

a

b

6

Find the square of side y as an equation based on the Pythagorean theorem

a

b

7

Find the square of side r as an equation based on the Pythagorean theorem

a

b