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Pythagorean Theorem - Length of Hypotenuse (Equation) (Level 1)

This math topic focuses on practicing the Pythagorean Theorem, specifically on finding the length of the hypotenuse given the lengths of the other two sides of a right triangle. The problems present various right triangles with different side lengths and require calculating the hypotenuse using the Pythagorean equation. Each problem includes multiple choice answers, emphasizing conceptual understanding and application of the theorem to solve practical problems. This topic forms a key part of an introductory unit on the Pythagorean Theorem.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Length of Hypotenuse (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 Hypotenuse (Equation) Worksheet

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Math worksheet on 'Pythagorean Theorem - Length of Hypotenuse (Equation) (Level 1)'. 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 square root of 3 to the power of 2 - 7 to the power of 2
b A LaTex expression showing square root of 3 to the power of 2 + 7 to the power of 2
c A LaTex expression showing 3 to the power of 2 - 7 to the power of 2
d A LaTex expression showing square root of 3 to the power of 3 + 7 to the power of 3
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 7 to the power of 2 - 2 to the power of 2
b A LaTex expression showing square root of 7 to the power of 3 + 2 to the power of 3
c A LaTex expression showing square root of 7 to the power of 2 + 2 to the power of 2
d A LaTex expression showing 7 to the power of 2 + 2 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 2 to the power of 2 + 5 to the power of 2
b A LaTex expression showing 2 to the power of 2 - 5 to the power of 2
c A LaTex expression showing square root of 2 to the power of 2 + 5 to the power of 2
d A LaTex expression showing square root of 2 to the power of 2 - 5 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 4 to the power of 3 + 3 to the power of 3
b A LaTex expression showing 4 to the power of 2 - 3 to the power of 2
c A LaTex expression showing 4 to the power of 2 + 3 to the power of 2
d A LaTex expression showing square root of 4 to the power of 2 + 3 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 2 to the power of 2 + 5 to the power of 2
b A LaTex expression showing square root of 2 to the power of 2 + 5 to the power of 2
c A LaTex expression showing square root of 5 to the power of 2 - 2 to the power of 2
d A LaTex expression showing 2 to the power of 2 - 5 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 square root of 5 to the power of 2 + 2 to the power of 2
b A LaTex expression showing 5 to the power of 2 + 2 to the power of 2
c A LaTex expression showing 5 to the power of 2 - 2 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 square root of 4 to the power of 2 + 3 to the power of 2
b A LaTex expression showing 4 to the power of 2 - 3 to the power of 2
c A LaTex expression showing 4 to the power of 2 + 3 to the power of 2