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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Pythagorean Theorem - Triangle with Squares Image to Area Calculation Worksheet

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Pythagorean Theorem - Triangle with Squares Image to Area Calculation
1
An svg image showing a math problem
Find the area of square M based on the Pythagorean theorem
a A LaTex expression showing M = 34m to the power of 2
b A LaTex expression showing M = 16m to the power of 2
2
An svg image showing a math problem
Find the area of square Z based on the Pythagorean theorem
a A LaTex expression showing Z = 121m to the power of 2
b A LaTex expression showing Z = 219m to the power of 2
3
An svg image showing a math problem
Find the area of square Y based on the Pythagorean theorem
a A LaTex expression showing Y = 9m to the power of 2
b A LaTex expression showing Y = 137m to the power of 2
4
An svg image showing a math problem
Find the area of square R based on the Pythagorean theorem
a A LaTex expression showing R = 0m to the power of 2
b A LaTex expression showing R = 128m to the power of 2
5
An svg image showing a math problem
Find the area of square X based on the Pythagorean theorem
a A LaTex expression showing X = 89m to the power of 2
b A LaTex expression showing X = 39m to the power of 2
6
An svg image showing a math problem
Find the area of square D based on the Pythagorean theorem
a A LaTex expression showing D = 15m to the power of 2
b A LaTex expression showing D = 113m 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 = 54m to the power of 2
b A LaTex expression showing M = 36m to the power of 2
8
An svg image showing a math problem
Find the area of square P based on the Pythagorean theorem
a A LaTex expression showing P = 40m to the power of 2
b A LaTex expression showing P = 32m to the power of 2