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.

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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

11?10

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 - 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
An svg image showing a math problem
a A LaTex expression showing square root of 160
b A LaTex expression showing square root of 356
c A LaTex expression showing square root of 552
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 212
b A LaTex expression showing square root of 572
c A LaTex expression showing square root of 376
d A LaTex expression showing square root of 180
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 236
b A LaTex expression showing square root of 364
c A LaTex expression showing square root of 136
d A LaTex expression showing square root of 36
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 217
b A LaTex expression showing square root of 290
c A LaTex expression showing square root of 48
d A LaTex expression showing square root of 386
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 352
b A LaTex expression showing square root of 80
c A LaTex expression showing square root of 368
d A LaTex expression showing square root of 224
e A LaTex expression showing square root of 208
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 456
b A LaTex expression showing square root of 132
c A LaTex expression showing square root of 524
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 471
b A LaTex expression showing square root of 302
c A LaTex expression showing square root of 133