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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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 b=square root of 376
b A LaTex expression showing b=square root of 180
c A LaTex expression showing b=square root of 572
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 224
b A LaTex expression showing b=square root of 368
c A LaTex expression showing b=square root of 80
d A LaTex expression showing b=square root of 496
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 272
c A LaTex expression showing b=square root of 128
d A LaTex expression showing b=square root of 160
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 481
b A LaTex expression showing b=square root of 239
c A LaTex expression showing b=square root of 383
d A LaTex expression showing b=square root of 95
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 553
b A LaTex expression showing b=square root of 409
c A LaTex expression showing b=square root of 167
d A LaTex expression showing b=square root of 23
e A LaTex expression showing b=square root of 311
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 552
b A LaTex expression showing b=square root of 160
c A LaTex expression showing b=square root of 428
d A LaTex expression showing b=square root of 356
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 624
b A LaTex expression showing b=square root of 160
c A LaTex expression showing b=square root of 428
d A LaTex expression showing b=square root of 356