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

This math topic focuses on applying the Pythagorean Theorem to find the lengths of sides in right triangles, specifically expressing answers in radical form. It features problems where students must determine missing side lengths (labelled a, b, or c) using the relationship a² + b² = c², and the answers involve square root calculations. This practice set is categorized as level 2, indicating a moderate level of complexity, suitable for learners familiar with basic Pythagorean concepts. The topic is positioned as an introduction to the broader concept of Pythagorean theorem and is accompanied by images and solutions in LaTex format.

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 = 9b = ?a = 8

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 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 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 299
b A LaTex expression showing square root of 57
c A LaTex expression showing square root of 185
d A LaTex expression showing square root of 178
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 613
b A LaTex expression showing square root of 367
c A LaTex expression showing square root of 563
d A LaTex expression showing square root of 171
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 120
b A LaTex expression showing square root of 289
c A LaTex expression showing square root of 458
d A LaTex expression showing square root of 556
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 179
b A LaTex expression showing square root of 98
c A LaTex expression showing square root of 17
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 628
b A LaTex expression showing square root of 290
c A LaTex expression showing square root of 386
d A LaTex expression showing square root of 48
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 217
b A LaTex expression showing square root of 386
c A LaTex expression showing square root of 48
d A LaTex expression showing square root of 290
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 332
b A LaTex expression showing square root of 388
c A LaTex expression showing square root of 44
d A LaTex expression showing square root of 188
e A LaTex expression showing square root of 532