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Pythagorean Theorem - Length of Side - Labelled Sides (Equation) (Level 1)

This math topic focuses on applying the Pythagorean theorem to find the lengths of missing sides in right triangles. Each problem provides a triangle with sides labeled as \(a\), \(b\), and \(c\) (where \(c\) is the hypotenuse), and students are required to solve for one of these sides using the relationship \(a^2 + b^2 = c^2\). The problems vary by the specific sides given and those that need to be determined, reinforcing the concept of the Pythagorean theorem through direct application to varied examples.

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

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Length of Side - Labelled Sides (Equation)

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


Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²

c = 11b = ?a = 2

Pythagorean Theorem - Length of Side - Labelled Sides (Equation) Worksheet

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Math worksheet on 'Pythagorean Theorem - Length of Side - Labelled Sides (Equation) (Level 1)'. Part of a broader unit on 'Pythagoras - Intro' Learn online: app.mobius.academy/math/units/pythagoras_intro/
1
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing 4 to the power of 2 - 11 to the power of 2
b A LaTex expression showing 4 to the power of 2 + 11 to the power of 2
c A LaTex expression showing square root of 4 to the power of 3 + 11 to the power of 3
d A LaTex expression showing square root of 11 to the power of 2 - 4 to the power of 2
2
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing 4 to the power of 2 - 11 to the power of 2
b A LaTex expression showing 4 to the power of 2 + 11 to the power of 2
c A LaTex expression showing square root of 11 to the power of 2 - 4 to the power of 2
3
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 5 to the power of 3 + 8 to the power of 3
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
4
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 10 to the power of 2 - 7 to the power of 2
b A LaTex expression showing 7 to the power of 2 + 10 to the power of 2
c A LaTex expression showing square root of 7 to the power of 3 + 10 to the power of 3
d A LaTex expression showing 7 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: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing 7 to the power of 2 + 9 to the power of 2
b A LaTex expression showing square root of 7 to the power of 3 + 9 to the power of 3
c A LaTex expression showing 7 to the power of 2 - 9 to the power of 2
d A LaTex expression showing square root of 9 to the power of 2 - 7 to the power of 2
6
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing 4 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 - 4 to the power of 2
c A LaTex expression showing square root of 4 to the power of 3 + 9 to the power of 3
d A LaTex expression showing 4 to the power of 2 + 9 to the power of 2
7
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing 2 to the power of 2 + 10 to the power of 2
b A LaTex expression showing 2 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 - 2 to the power of 2
d A LaTex expression showing square root of 10 to the power of 2 + 2 to the power of 2