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Pythagorean Theorem - Length of Side (Equation) (Level 2)

This math topic focuses on applying the Pythagorean Theorem to solve for the length of a missing side in right triangles. Various problems require setting up and resolving equations based on the theorem, such as calculating the hypotenuse or a leg of the triangle using given side lengths. The problems are structured to enhance understanding of the theorem’s proof and application, assisting learners in mastering this fundamental geometric principle.

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Length of Side (Equation)

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Find the length of the missing side as an equation based on the Pythagorean theorem

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Pythagorean Theorem - Length of Side (Equation) Worksheet

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Math worksheet on 'Pythagorean Theorem - Length of Side (Equation) (Level 2)'. Part of a broader unit on 'Pythagoras - Practice' Learn online: app.mobius.academy/math/units/pythagoras_practice/
1
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing 11 to the power of 2 + 12 to the power of 2
b A LaTex expression showing square root of 12 to the power of 2 - 11 to the power of 2
c A LaTex expression showing 11 to the power of 2 - 12 to the power of 2
2
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 12 to the power of 2 - 6 to the power of 2
b A LaTex expression showing square root of 6 to the power of 3 + 12 to the power of 3
c A LaTex expression showing square root of 12 to the power of 2 + 6 to the power of 2
d A LaTex expression showing 6 to the power of 2 - 12 to the power of 2
3
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 11 to the power of 3 + 13 to the power of 3
b A LaTex expression showing 11 to the power of 2 - 13 to the power of 2
c A LaTex expression showing square root of 13 to the power of 2 - 11 to the power of 2
4
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 12 to the power of 2 - 10 to the power of 2
b A LaTex expression showing 10 to the power of 2 - 12 to the power of 2
c A LaTex expression showing 10 to the power of 2 + 12 to the power of 2
5
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 13 to the power of 2 - 5 to the power of 2
b A LaTex expression showing 5 to the power of 2 - 13 to the power of 2
c A LaTex expression showing 5 to the power of 2 + 13 to the power of 2
d A LaTex expression showing square root of 5 to the power of 2 - 13 to the power of 2
6
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing 8 to the power of 2 - 13 to the power of 2
b A LaTex expression showing square root of 8 to the power of 3 + 13 to the power of 3
c A LaTex expression showing square root of 13 to the power of 2 - 8 to the power of 2
d A LaTex expression showing square root of 8 to the power of 2 - 13 to the power of 2
7
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing 8 to the power of 2 + 13 to the power of 2
b A LaTex expression showing 8 to the power of 2 - 13 to the power of 2
c A LaTex expression showing square root of 13 to the power of 2 - 8 to the power of 2
d A LaTex expression showing square root of 8 to the power of 2 - 13 to the power of 2