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Pythagorean Theorem - Triangle with Squares Image to Area Equation (Level 1)

This math topic focuses on using the Pythagorean theorem to find areas expressed as algebraic equations. It includes visual problems where squares are attached to the sides of triangles, challenging students to derive the area of these squares using Pythagorean relationships. Each question offers a diagram of a triangle with different squares, and students must formulate the area of these squares based on given variables. Multiple answer choices are provided to assess the understanding of the theorem in deriving area equations. The problems are introductory and aimed at developing a foundational grasp of Pythagorean theorem applications.

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

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Triangle with Squares Image to Area Equation

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Find the area of square R as an equation based on the Pythagorean theorem

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Pythagorean Theorem - Triangle with Squares Image to Area Equation Worksheet

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Math worksheet on 'Pythagorean Theorem - Triangle with Squares Image to Area Equation (Level 1)'. 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 area of square Y as an equation based on the Pythagorean theorem
a A LaTex expression showing Y = X + M
b A LaTex expression showing Y = X - M
2
An svg image showing a math problem
Find the area of square Y as an equation based on the Pythagorean theorem
a A LaTex expression showing Y = D - X
b A LaTex expression showing Y = D + X
3
An svg image showing a math problem
Find the area of square R as an equation based on the Pythagorean theorem
a A LaTex expression showing R = X - N
b A LaTex expression showing R = X + N
4
An svg image showing a math problem
Find the area of square Z as an equation based on the Pythagorean theorem
a A LaTex expression showing Z = R + M
b A LaTex expression showing Z = R - M
5
An svg image showing a math problem
Find the area of square D as an equation based on the Pythagorean theorem
a A LaTex expression showing D = X + N
b A LaTex expression showing D = X - N
6
An svg image showing a math problem
Find the area of square D as an equation based on the Pythagorean theorem
a A LaTex expression showing D = X + P
b A LaTex expression showing D = X - P
7
An svg image showing a math problem
Find the area of square Y as an equation based on the Pythagorean theorem
a A LaTex expression showing Y = R - Z
b A LaTex expression showing Y = R + Z