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

This math topic focuses on applying the Pythagorean Theorem to find the length of the hypotenuse or a missing side in right-angled triangles. Each problem presents a different triangle with two side lengths provided, requiring the solution of the missing side length using the theorem. Various equations combining squares and square roots of the given lengths are provided as potential answers, illustrating different algebraic manipulations related to the theorem's application. This allows for an emphasis on understanding and correctly applying the formula \(a^2 + b^2 = c^2\) in various contexts.

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 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 5 to the power of 2 + 9 to the power of 2
b A LaTex expression showing square root of 9 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 + 9 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 11 to the power of 2 - 8 to the power of 2
b A LaTex expression showing square root of 8 to the power of 2 + 11 to the power of 2
c A LaTex expression showing 8 to the power of 2 - 11 to the power of 2
d A LaTex expression showing square root of 8 to the power of 3 + 11 to the power of 3
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 5 to the power of 2 - 11 to the power of 2
b A LaTex expression showing 5 to the power of 2 + 11 to the power of 2
c A LaTex expression showing 5 to the power of 2 - 11 to the power of 2
d A LaTex expression showing square root of 5 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 5 to the power of 2 - 10 to the power of 2
b A LaTex expression showing 5 to the power of 2 + 10 to the power of 2
c A LaTex expression showing square root of 5 to the power of 2 + 10 to the power of 2
d A LaTex expression showing 5 to the power of 2 - 10 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 8 to the power of 2 - 5 to the power of 2
b A LaTex expression showing square root of 8 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 - 8 to the power of 2
d A LaTex expression showing square root of 8 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 11 to the power of 2 - 10 to the power of 2
b A LaTex expression showing square root of 11 to the power of 2 - 10 to the power of 2
c A LaTex expression showing square root of 10 to the power of 2 - 11 to the power of 2
d A LaTex expression showing square root of 11 to the power of 2 + 10 to the power of 2
e A LaTex expression showing 11 to the power of 2 + 10 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 11 to the power of 2 + 9 to the power of 2
b A LaTex expression showing 11 to the power of 2 - 9 to the power of 2
c A LaTex expression showing square root of 9 to the power of 2 - 11 to the power of 2
d A LaTex expression showing 11 to the power of 2 + 9 to the power of 2