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Pythagorean Theorem - Either Missing Length - Labelled Sides (Radical) (Level 1)

This math topic provides practice with the Pythagorean theorem by asking students to find the length of missing sides in right triangles, expressed as square root values. The problems require students to apply the theorem \(a^2 + b^2 = c^2\) to determine the unknown side, enhancing their understanding and computational skills with radicals in the context of geometry. Each question is accompanied by an image representation of a triangle with specific sides labeled, reinforcing visual learning and the application of theoretical mathematical concepts.

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 = 4a = 4

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 1)'. 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 157
b A LaTex expression showing square root of 206
c A LaTex expression showing square root of 327
d A LaTex expression showing square root of 85
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 13
b A LaTex expression showing square root of -13
c A LaTex expression showing square root of 85
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 square root of 41
b A LaTex expression showing square root of 9
c A LaTex expression showing square root of 57
d A LaTex expression showing square root of 73
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 27
b A LaTex expression showing square root of 0
c A LaTex expression showing square root of 18
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 85
b A LaTex expression showing square root of 13
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 square root of 112
b A LaTex expression showing square root of 130
c A LaTex expression showing square root of 354
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 74
b A LaTex expression showing square root of 99
c A LaTex expression showing square root of 24