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Pythagorean Theorem - Either Missing Length (Equation) (Level 1)

This math topic covers exercises that focus on solving for a missing side of a triangle using the Pythagorean theorem. Each problem presents a different triangle, and students are required to write an equation to find the length of one side based on the given sides. The problems entail using both addition and subtraction of squares and extracting square roots, reinforcing understanding of the Pythagorean theorem. This is aimed at beginners as it is part of an introductory unit on Pythagoras.

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

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Either Missing Length (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 - Either Missing Length (Equation) Worksheet

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Math worksheet on 'Pythagorean Theorem - Either Missing Length (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 7 to the power of 2 - 5 to the power of 2
b A LaTex expression showing 7 to the power of 2 + 5 to the power of 2
c A LaTex expression showing square root of 7 to the power of 2 + 5 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 6 to the power of 2 + 2 to the power of 2
b A LaTex expression showing square root of 6 to the power of 3 + 2 to the power of 3
c A LaTex expression showing 6 to the power of 2 + 2 to the power of 2
d A LaTex expression showing 6 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 square root of 2 to the power of 2 + 2 to the power of 2
b A LaTex expression showing 2 to the power of 2 + 2 to the power of 2
c A LaTex expression showing 2 to the power of 2 - 2 to the power of 2
d A LaTex expression showing square root of 2 to the power of 2 - 2 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 4 to the power of 2 + 8 to the power of 2
b A LaTex expression showing square root of 4 to the power of 3 + 8 to the power of 3
c A LaTex expression showing 4 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 - 4 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 10 to the power of 2 - 3 to the power of 2
b A LaTex expression showing square root of 10 to the power of 2 + 3 to the power of 2
c A LaTex expression showing 3 to the power of 2 + 10 to the power of 2
d A LaTex expression showing 3 to the power of 2 - 10 to the power of 2
e A LaTex expression showing square root of 3 to the power of 3 + 10 to the power of 3
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 3 to the power of 3 + 5 to the power of 3
b A LaTex expression showing square root of 5 to the power of 2 - 3 to the power of 2
c A LaTex expression showing 3 to the power of 2 - 5 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 7 to the power of 2 - 2 to the power of 2
b A LaTex expression showing 2 to the power of 2 - 7 to the power of 2
c A LaTex expression showing 2 to the power of 2 + 7 to the power of 2