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Pythagorean Theorem - Either Missing Length - Labelled Sides (Equation) (Level 2)

This math topic focuses on applying the Pythagorean theorem to calculate the length of a missing side in various right triangle configurations. The problems require participants to form equations based on the Pythagorean theorem, \(a^2 + b^2 = c^2\), to solve for different sides labeled as \(a\), \(b\), or \(c\), utilizing given triangle dimensions. Each question presents a different scenario to practice solving for either the hypotenuse or one of the legs, underpinning the essential concepts of the Pythagorean theorem as 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 - 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 = ?b = 9a = 6

Pythagorean Theorem - Either Missing Length - Labelled Sides (Equation) Worksheet

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Math worksheet on 'Pythagorean Theorem - Either Missing Length - Labelled Sides (Equation) (Level 2)'. 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 5 to the power of 2 + 8 to the power of 2
b A LaTex expression showing 5 to the power of 2 - 8 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 5 to the power of 3 + 8 to the power of 3
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 square root of 10 to the power of 2 + 5 to the power of 2
b A LaTex expression showing square root of 10 to the power of 2 - 5 to the power of 2
c A LaTex expression showing 10 to the power of 2 - 5 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 4 to the power of 2 + 9 to the power of 2
b A LaTex expression showing 4 to the power of 2 - 9 to the power of 2
c A LaTex expression showing square root of 4 to the power of 2 - 9 to the power of 2
d A LaTex expression showing square root of 4 to the power of 2 + 9 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 + 4 to the power of 2
b A LaTex expression showing 10 to the power of 2 - 4 to the power of 2
c A LaTex expression showing square root of 10 to the power of 3 + 4 to the power of 3
d A LaTex expression showing square root of 10 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: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 8 to the power of 2 + 4 to the power of 2
b A LaTex expression showing 8 to the power of 2 + 4 to the power of 2
c A LaTex expression showing 8 to the power of 2 - 4 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 square root of 8 to the power of 2 - 11 to the power of 2
b A LaTex expression showing square root of 11 to the power of 2 + 8 to the power of 2
c A LaTex expression showing 11 to the power of 2 - 8 to the power of 2
d A LaTex expression showing 11 to the power of 2 + 8 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 10 to the power of 2 + 12 to the power of 2
b A LaTex expression showing square root of 10 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 - 10 to the power of 2
d A LaTex expression showing 10 to the power of 2 - 12 to the power of 2