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.

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

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Pythagorean Theorem - Either Missing Length - Labelled Sides (Radical)
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 85
b A LaTex expression showing c=square root of 121
c A LaTex expression showing c=square root of 13
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 57
b A LaTex expression showing c=square root of 41
c A LaTex expression showing c=square root of 73
d A LaTex expression showing c=square root of 9
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 40
b A LaTex expression showing c=square root of 32
c A LaTex expression showing c=square root of 76
d A LaTex expression showing c=square root of -32
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 44
b A LaTex expression showing c=square root of 40
c A LaTex expression showing c=square root of 32
d A LaTex expression showing c=square root of 48
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 c=square root of 27
b A LaTex expression showing c=square root of 63
c A LaTex expression showing c=square root of 45
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 17
b A LaTex expression showing c=square root of 5
c A LaTex expression showing c=square root of 13
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 b=square root of 76
b A LaTex expression showing b=square root of 32
c A LaTex expression showing b=square root of 104
d A LaTex expression showing b=square root of 68
8
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 52
b A LaTex expression showing c=square root of 20
c A LaTex expression showing c=square root of 88