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Pythagorean Theorem - 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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Triangle with Squares Image to Area Calculation

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the area of square M based on the Pythagorean theorem

M3412476121m^21182026281m^2

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 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 area of square Y based on the Pythagorean theorem
a A LaTex expression showing Y = 321m to the power of 2
b A LaTex expression showing Y = 121m 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 = 409m 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 Y based on the Pythagorean theorem
a A LaTex expression showing Y = 242m to the power of 2
b A LaTex expression showing Y = 0m to the power of 2
4
An svg image showing a math problem
Find the area of square Z based on the Pythagorean theorem
a A LaTex expression showing Z = 242m to the power of 2
b A LaTex expression showing Z = 0m to the power of 2
5
An svg image showing a math problem
Find the area of square Y based on the Pythagorean theorem
a A LaTex expression showing Y = 44m to the power of 2
b A LaTex expression showing Y = 244m 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 = 21m to the power of 2
b A LaTex expression showing R = 221m to the power of 2
7
An svg image showing a math problem
Find the area of square Y based on the Pythagorean theorem
a A LaTex expression showing Y = 306m to the power of 2
b A LaTex expression showing Y = 144m to the power of 2