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Pythagorean Theorem - Length of Hypotenuse - Labelled Sides (Radical) (Level 2)

This math topic focuses on the application of the Pythagorean Theorem to find the lengths of missing sides in right triangles, specifically the hypotenuse. The problems require expressing the lengths as square root values and utilize labeled sides. These exercises help enhance skills in identifying the sides of triangles, applying the theorem formula \(a^2 + b^2 = c^2\), and simplifying radical expressions. The problems progress through a set of examples, providing solutions in radical form, thus deepening understanding of Pythagorean relationships and radical 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 (Radical)

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


Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²

c = ?b = 10a = 4

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

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Math worksheet on 'Pythagorean Theorem - Length of Hypotenuse - Labelled Sides (Radical) (Level 2)'. Part of a broader unit on 'Pythagoras - Intro' Learn online: app.mobius.academy/math/units/pythagoras_intro/
1
An svg image showing a math problem
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
a A LaTex expression showing square root of 32
b A LaTex expression showing square root of 130
2
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 56
b A LaTex expression showing square root of 106
c A LaTex expression showing square root of 131
3
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 97
b A LaTex expression showing square root of 65
c A LaTex expression showing square root of 259
d A LaTex expression showing square root of 178
4
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 84
b A LaTex expression showing square root of 116
c A LaTex expression showing square root of 316
5
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 292
b A LaTex expression showing square root of 36
c A LaTex expression showing square root of 164
d A LaTex expression showing square root of 228
6
An svg image showing a math problem
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
a A LaTex expression showing square root of 57
b A LaTex expression showing square root of 185
7
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 145
b A LaTex expression showing square root of 17
c A LaTex expression showing square root of 209