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.

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

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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 d=square root of 239
b A LaTex expression showing d=square root of 77
c A LaTex expression showing d=square root of 158
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 y=square root of 218
b A LaTex expression showing y=square root of 137
c A LaTex expression showing y=square root of 268
d A LaTex expression showing y=square root of 56
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 p=square root of 136
b A LaTex expression showing p=square root of 264
c A LaTex expression showing p=square root of 164
d A LaTex expression showing p=square root of 64
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 d=square root of 75
b A LaTex expression showing d=square root of 175
c A LaTex expression showing d=square root of 275
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 r=square root of 114
b A LaTex expression showing r=square root of 82
c A LaTex expression showing r=square root of 131
d A LaTex expression showing r=square root of 65
e A LaTex expression showing r=square root of 33
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 d=square root of 175
b A LaTex expression showing d=square root of 225
c A LaTex expression showing d=square root of 275
d A LaTex expression showing d=square root of 75
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 y=square root of 278
b A LaTex expression showing y=square root of 327
c A LaTex expression showing y=square root of 85
d A LaTex expression showing y=square root of 157
Pythagorean Theorem - Length of Side (Radical) (Level 1) - Mobius Math