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.

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

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Pythagorean Theorem - Length of Side - Labelled Sides (Radical)
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 b=square root of 381
b A LaTex expression showing b=square root of 19
c A LaTex expression showing b=square root of 281
d A LaTex expression showing b=square root of 219
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 b=square root of 426
b A LaTex expression showing b=square root of 88
c A LaTex expression showing b=square root of 588
d A LaTex expression showing b=square root of 257
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 b=square root of 416
b A LaTex expression showing b=square root of 160
c A LaTex expression showing b=square root of 128
d A LaTex expression showing b=square root of 272
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 b=square root of 351
b A LaTex expression showing b=square root of 63
c A LaTex expression showing b=square root of 207
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 b=square root of 23
b A LaTex expression showing b=square root of 553
c A LaTex expression showing b=square root of 311
d A LaTex expression showing b=square root of 167
e A LaTex expression showing b=square root of 409
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 b=square root of 572
b A LaTex expression showing b=square root of 376
c A LaTex expression showing b=square root of 180
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 b=square root of 252
b A LaTex expression showing b=square root of 108
c A LaTex expression showing b=square root of 396
8
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 b=square root of 193
b A LaTex expression showing b=square root of 481
c A LaTex expression showing b=square root of 95
d A LaTex expression showing b=square root of 383
e A LaTex expression showing b=square root of 239