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

This math topic focuses on applying the Pythagorean Theorem to find the length of the hypotenuse or other sides of a right triangle. Each problem provides equations using the familiar Pythagorean format a² + b² = c², asking students to solve for the missing lengths either by direct calculation or by employing the theorem's square and square root principles in several variations. This skill is fundamental for understanding relationships within right triangles and lays the groundwork for broader concepts in geometry and Cartesian grid calculations.

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

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Length of Hypotenuse - 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 = 4a = 6

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

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