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Pythagorean Theorem - Length of Side (Radical) (Level 1)

This math topic focuses on the application of the Pythagorean theorem to find the length of a missing side of a triangle, expressed in radical form (i.e., square roots). It serves as an introductory exploration into the Pythagorean theorem, aiming to deepen understanding of the relationship between the sides of right-angled triangles. The problems presented require students to calculate and express answers as radicals, bolstering their skills in both geometry and algebraic manipulation. Each question features a diagram of a right triangle with dimensions provided, prompting the student to solve for the unknown side.

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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 1)'. 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 143
b A LaTex expression showing square root of 45
c A LaTex expression showing square root of 53
d A LaTex expression showing square root of 102
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 194
b A LaTex expression showing square root of 130
c A LaTex expression showing square root of 32
d A LaTex expression showing square root of 113
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 296
b A LaTex expression showing square root of 196
c A LaTex expression showing square root of 304
d A LaTex expression showing square root of 96
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 347
b A LaTex expression showing square root of 226
c A LaTex expression showing square root of 379
d A LaTex expression showing square root of 105
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 60
b A LaTex expression showing square root of 188
c A LaTex expression showing square root of 68
d A LaTex expression showing square root of 124
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 131
b A LaTex expression showing square root of 33
c A LaTex expression showing square root of 114
d A LaTex expression showing square root of 82
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 347
b A LaTex expression showing square root of 226
c A LaTex expression showing square root of 379
d A LaTex expression showing square root of 258
e A LaTex expression showing square root of 105