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

This math topic focuses on practicing the Pythagorean Theorem. Students apply the theorem to derive equations for the square of a side in various triangle diagrams, where each side is represented by a variable (e.g., \( m^2 = z^2 + x^2 \)). The worksheet provides multiple-choice questions where students must select the correct equation that represents the relationship between the sides of the triangles according to the Pythagorean theorem. This is part of an introductory unit on Pythagorean theorem concepts.

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

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Variable-Named Sides to Square Equation

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

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Pythagorean Theorem - Variable-Named Sides to Square Equation Worksheet

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Math worksheet on 'Pythagorean Theorem - Variable-Named Sides to Square Equation (Level 2)'. Part of a broader unit on 'Pythagoras - Intro' Learn online: app.mobius.academy/math/units/pythagoras_intro/
1
An svg image showing a math problem
Find the square of side z as an equation based on the Pythagorean theorem
a A LaTex expression showing z to the power of 2 = m to the power of 2 + y to the power of 2
b A LaTex expression showing z to the power of 2 = m to the power of 2 - y to the power of 2
2
An svg image showing a math problem
Find the square of side y as an equation based on the Pythagorean theorem
a A LaTex expression showing y to the power of 2 = r to the power of 2 - n to the power of 2
b A LaTex expression showing y to the power of 2 = r to the power of 2 + n to the power of 2
3
An svg image showing a math problem
Find the square of side p as an equation based on the Pythagorean theorem
a A LaTex expression showing p to the power of 2 = y to the power of 2 - m to the power of 2
b A LaTex expression showing p to the power of 2 = y to the power of 2 + m to the power of 2
4
An svg image showing a math problem
Find the square of side z as an equation based on the Pythagorean theorem
a A LaTex expression showing z to the power of 2 = y to the power of 2 - m to the power of 2
b A LaTex expression showing z to the power of 2 = y to the power of 2 + m to the power of 2
5
An svg image showing a math problem
Find the square of side z as an equation based on the Pythagorean theorem
a A LaTex expression showing z to the power of 2 = p to the power of 2 + x to the power of 2
b A LaTex expression showing z to the power of 2 = p to the power of 2 - x to the power of 2
6
An svg image showing a math problem
Find the square of side m as an equation based on the Pythagorean theorem
a A LaTex expression showing m to the power of 2 = z to the power of 2 - d to the power of 2
b A LaTex expression showing m to the power of 2 = z to the power of 2 + d to the power of 2
7
An svg image showing a math problem
Find the square of side y as an equation based on the Pythagorean theorem
a A LaTex expression showing y to the power of 2 = m to the power of 2 + x to the power of 2
b A LaTex expression showing y to the power of 2 = m to the power of 2 - x to the power of 2