Either Missing Length - Labelled Sides (Radical) (Level 2)

This math topic focuses on the Pythagorean Theorem, specifically finding either of the missing side lengths (labelled as a, b, or c) of a right triangle. The problems require expressing the missing side's length as a square root value. It covers a variety of problem scenarios centered around understanding and applying the theorem \(a^2 + b^2 = c^2\) to compute the length of a side when the other sides are given. Each question is designed to enhance proficiency in solving equations involving radicals in the context of geometry. The practice level is introductory, as it aims at building foundational skills in using the Pythagorean Theorem.

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

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Pythagorean Theorem - Either Missing Length - Labelled Sides (Radical) Worksheet

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Math worksheet on 'Pythagorean Theorem - Either Missing Length - 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 c=square root of 343
b A LaTex expression showing c=square root of 181
c A LaTex expression showing c=square root of 19
2
An svg image showing a math problem
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
a A LaTex expression showing c=square root of 125
b A LaTex expression showing c=square root of 75
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 c=square root of 162
b A LaTex expression showing c=square root of 0
c A LaTex expression showing c=square root of 324
d A LaTex expression showing c=square root of 243
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 c=square root of 15
b A LaTex expression showing c=square root of 241
c A LaTex expression showing c=square root of 113
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 23
b A LaTex expression showing b=square root of 553
c A LaTex expression showing b=square root of 409
d A LaTex expression showing b=square root of 167
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 c=square root of 45
b A LaTex expression showing c=square root of -45
c A LaTex expression showing c=square root of 279
d A LaTex expression showing c=square root of 117
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 c=square root of 17
b A LaTex expression showing c=square root of 145
c A LaTex expression showing c=square root of 209