Pythagorean Theore

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.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Length of Hypotenuse (Radical)

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Find the length of the missing side as a square root value, based on the Pythagorean theorem

?53

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Pythagorean Theorem - Length of Hypotenuse (Radical) Worksheet

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Math worksheet on 'Pythagorean Theorem - Length of Hypotenuse (Radical) (Level 1)'. Part of a broader unit on 'Pythagoras - Intro' Learn online: app.mobius.academy/math/units/pythagoras_intro/
1
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 square root of 29
b A LaTex expression showing square root of 21
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 square root of 58
b A LaTex expression showing square root of 40
c A LaTex expression showing square root of 107
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 square root of 0
b A LaTex expression showing square root of 18
c A LaTex expression showing square root of 27
4
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 square root of 98
b A LaTex expression showing square root of 0
c A LaTex expression showing square root of 147
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 square root of 53
b A LaTex expression showing square root of 61
c A LaTex expression showing square root of 45
6
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 square root of 48
b A LaTex expression showing square root of 40
c A LaTex expression showing square root of 32
7
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 square root of -7
b A LaTex expression showing square root of 25
c A LaTex expression showing square root of 57
d A LaTex expression showing square root of 7