Length of Hypotenuse (Radical) (Level 1)

This math topic focuses on calculating the length of the hypotenuse in right triangles using the Pythagorean Theorem, with answers presented as radical values (square roots). The problems emphasize understanding and applying the theorem to find the hypotenuse when the other two sides are known. The material is aimed at introductory levels, and provides a practical context for utilizing radicals in geometry. This topic is a part of a broader introduction to Pythagorean concepts, tailored to foster the foundational skills needed in geometry and algebra involving right triangles.

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Pythagorean Theorem - Length of Hypotenuse (Radical) Worksheet

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Pythagorean Theorem - Length of Hypotenuse (Radical)
1
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing y=square root of 52
b A LaTex expression showing y=square root of 68
c A LaTex expression showing y=square root of 20
2
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing y=square root of 41
b A LaTex expression showing y=square root of 9
c A LaTex expression showing y=square root of 91
3
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing z=square root of 72
b A LaTex expression showing z=square root of 108
c A LaTex expression showing z=square root of 0
4
An svg image showing a math problem
Find the length of the missing side as a square root value, based on the Pythagorean theorem
a A LaTex expression showing n=square root of 34
b A LaTex expression showing n=square root of 16
5
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing y=square root of 13
b A LaTex expression showing y=square root of 85
c A LaTex expression showing y=square root of -13
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
a A LaTex expression showing d=square root of 16
b A LaTex expression showing d=square root of 34
7
An svg image showing a math problem
Find the length of the missing side as a square root value, based on the Pythagorean theorem
a A LaTex expression showing z=square root of 13
b A LaTex expression showing z=square root of 85
8
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing r=square root of 147
b A LaTex expression showing r=square root of 98
c A LaTex expression showing r=square root of 0
d A LaTex expression showing r=square root of 196