Pythagorean Theore

Length of Side - Labelled Sides (Radical) (Level 1)

This math topic focuses on applying the Pythagorean Theorem to find the lengths of sides in right triangles, expressed as square root values. Each problem presents a triangle with labeled sides, and the goal is to determine the length of one or more missing sides using the formula \(a^2 + b^2 = c^2\). These exercises help in understanding and manipulating radical expressions as part of a foundational approach to learning Pythagorean relationships in geometrical contexts.

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

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Length of Side - 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 = 8b = ?a = 4

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

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Math worksheet on 'Pythagorean Theorem - Length of Side - Labelled Sides (Radical) (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 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 296
b A LaTex expression showing square root of 96
c A LaTex expression showing square root of 196
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 13
b A LaTex expression showing square root of 111
c A LaTex expression showing square root of 62
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 123
b A LaTex expression showing square root of 122
c A LaTex expression showing square root of 73
d A LaTex expression showing square root of 24
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 83
b A LaTex expression showing square root of 11
c A LaTex expression showing square root of 47
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 264
b A LaTex expression showing square root of 64
c A LaTex expression showing square root of 164
d A LaTex expression showing square root of 136
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 square root of 234
b A LaTex expression showing square root of 90
c A LaTex expression showing square root of 72
d A LaTex expression showing square root of 153
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 61
b A LaTex expression showing square root of 83
c A LaTex expression showing square root of 47
d A LaTex expression showing square root of 11