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

This topic focuses on applying the Pythagorean theorem to find the length of a missing side of a triangle, with the solution expressed as a square root value. Students are tasked with solving multiple problems where they need to calculate the missing length based on the given sides of a right-angled triangle. Each problem requires understanding and manipulating radicals as part of the solution process. This set of problems is part of an introductory unit on Pythagoras' theorem.

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

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Length of Side (Radical)

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Find the length of the missing side as a square root value, based on the Pythagorean theorem

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Pythagorean Theorem - Length of Side (Radical) Worksheet

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Math worksheet on 'Pythagorean Theorem - Length of Side (Radical) (Level 2)'. Part of a broader unit on 'Pythagoras - Practice' Learn online: app.mobius.academy/math/units/pythagoras_practice/
1
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 133
b A LaTex expression showing square root of 205
c A LaTex expression showing square root of 471
d A LaTex expression showing square root of 374
2
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 180
b A LaTex expression showing square root of 604
c A LaTex expression showing square root of 572
d A LaTex expression showing square root of 376
e A LaTex expression showing square root of 408
3
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 368
b A LaTex expression showing square root of 208
c A LaTex expression showing square root of 80
d A LaTex expression showing square root of 352
4
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 119
b A LaTex expression showing square root of 381
c A LaTex expression showing square root of 19
d A LaTex expression showing square root of 219
5
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 142
b A LaTex expression showing square root of 21
c A LaTex expression showing square root of 463
d A LaTex expression showing square root of 263
e A LaTex expression showing square root of 342
6
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 607
b A LaTex expression showing square root of 407
c A LaTex expression showing square root of 69
d A LaTex expression showing square root of 238
7
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 221
b A LaTex expression showing square root of 142
c A LaTex expression showing square root of 263
d A LaTex expression showing square root of 21