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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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 c=square root of 136
b A LaTex expression showing c=square root of 64
2
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 c=square root of 80
b A LaTex expression showing c=square root of 48
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 c=square root of 130
b A LaTex expression showing c=square root of 32
c A LaTex expression showing c=square root of -32
d A LaTex expression showing c=square root of 211
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 c=square root of -32
b A LaTex expression showing c=square root of 32
c A LaTex expression showing c=square root of 130
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 c=square root of 65
b A LaTex expression showing c=square root of 97
c A LaTex expression showing c=square root of 129
6
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 c=square root of 262
b A LaTex expression showing c=square root of 181
c A LaTex expression showing c=square root of 19
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 c=square root of 96
b A LaTex expression showing c=square root of 146
c A LaTex expression showing c=square root of 171
Pythagorean Theorem - Length of Hypotenuse - Labelled Sides (Radical) (Level 2) - Mobius Math