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

This math topic focuses on practicing the application of the Pythagorean Theorem, specifically for finding the areas of squares constructed on the sides of triangles. It involves identifying the relationship between the sides of right triangles and their corresponding squares. Each problem presents an image of a triangle with one or more squares and uses variables to ask for the calculation of area for a particular square, enhancing understanding of geometry, algebra, and the theorem's real-world application.

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 Calculation

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Find the area of square Z based on the Pythagorean theorem

Z

Pythagorean Theorem - Triangle with Squares Image to Area Calculation Worksheet

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Math worksheet on 'Pythagorean Theorem - Triangle with Squares Image to Area Calculation (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 N based on the Pythagorean theorem
a A LaTex expression showing N = 64m to the power of 2
b A LaTex expression showing N = 72m to the power of 2
2
An svg image showing a math problem
Find the area of square R based on the Pythagorean theorem
a A LaTex expression showing R = 130m to the power of 2
b A LaTex expression showing R = 32m to the power of 2
3
An svg image showing a math problem
Find the area of square X based on the Pythagorean theorem
a A LaTex expression showing X = 25m to the power of 2
b A LaTex expression showing X = 97m to the power of 2
4
An svg image showing a math problem
Find the area of square P based on the Pythagorean theorem
a A LaTex expression showing P = 144m to the power of 2
b A LaTex expression showing P = 216m to the power of 2
5
An svg image showing a math problem
Find the area of square N based on the Pythagorean theorem
a A LaTex expression showing N = 121m to the power of 2
b A LaTex expression showing N = 283m to the power of 2
6
An svg image showing a math problem
Find the area of square Z based on the Pythagorean theorem
a A LaTex expression showing Z = 352m to the power of 2
b A LaTex expression showing Z = 64m to the power of 2
7
An svg image showing a math problem
Find the area of square M based on the Pythagorean theorem
a A LaTex expression showing M = 64m to the power of 2
b A LaTex expression showing M = 306m to the power of 2