Triangle with Squares Image to Area Calculation (Level 2)

This math topic focuses on using the Pythagorean theorem to calculate the areas of squares associated with various triangles. Each problem provides a triangle with squares constructed on its sides and requires the calculation of the area for one of the squares. The skill practiced involves applying the Pythagorean theorem, a fundamental concept in geometry, to solve real-world spatial problems. This is part of an introductory unit on Pythagoras, ensuring a foundational understanding of this theorem in calculating distances and properties related to right-angled triangles.

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 Z based on the Pythagorean theorem
a A LaTex expression showing Z = 265m to the power of 2
b A LaTex expression showing Z = 23m to the power of 2
2
An svg image showing a math problem
Find the area of square M based on the Pythagorean theorem
a A LaTex expression showing M = 363m to the power of 2
b A LaTex expression showing M = 121m to the power of 2
3
An svg image showing a math problem
Find the area of square R based on the Pythagorean theorem
a A LaTex expression showing R = 321m to the power of 2
b A LaTex expression showing R = 121m 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 = 386m to the power of 2
5
An svg image showing a math problem
Find the area of square Z based on the Pythagorean theorem
a A LaTex expression showing Z = 202m to the power of 2
b A LaTex expression showing Z = 40m to the power of 2
6
An svg image showing a math problem
Find the area of square R based on the Pythagorean theorem
a A LaTex expression showing R = 321m to the power of 2
b A LaTex expression showing R = 121m to the power of 2
7
An svg image showing a math problem
Find the area of square D based on the Pythagorean theorem
a A LaTex expression showing D = 265m to the power of 2
b A LaTex expression showing D = 23m to the power of 2
8
An svg image showing a math problem
Find the area of square D based on the Pythagorean theorem
a A LaTex expression showing D = 144m to the power of 2
b A LaTex expression showing D = 386m to the power of 2