Pythagorean Theore

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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Either Missing Length - Labelled Sides (Radical)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²

c = ?b = 10a = 6

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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 square root of 281
b A LaTex expression showing square root of 219
c A LaTex expression showing square root of 19
d A LaTex expression showing square root of 119
2
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 square root of 69
b A LaTex expression showing square root of 438
c A LaTex expression showing square root of 407
d A LaTex expression showing square root of 238
3
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 square root of 45
b A LaTex expression showing square root of 117
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 square root of 292
b A LaTex expression showing square root of 130
c A LaTex expression showing square root of 32
5
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 square root of 200
b A LaTex expression showing square root of 0
6
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 square root of 164
b A LaTex expression showing square root of 36
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 square root of 28
b A LaTex expression showing square root of 164
c A LaTex expression showing square root of 100