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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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 c=square root of 48
b A LaTex expression showing c=square root of 40
c A LaTex expression showing c=square root of 44
d A LaTex expression showing c=square root of 32
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 c=square root of -13
b A LaTex expression showing c=square root of 183
c A LaTex expression showing c=square root of 13
d A LaTex expression showing c=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 b=square root of 151
b A LaTex expression showing b=square root of 143
c A LaTex expression showing b=square root of 45
d A LaTex expression showing b=square root of 102
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 0
b A LaTex expression showing c=square root of 18
c A LaTex expression showing c=square root of 36
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 88
b A LaTex expression showing b=square root of 56
c A LaTex expression showing b=square root of 20
d A LaTex expression showing b=square root of 92
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 8
b A LaTex expression showing c=square root of 0
c A LaTex expression showing c=square root of 12
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 13
b A LaTex expression showing c=square root of 121
c A LaTex expression showing c=square root of 85