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Pythagorean Theorem - Length of Hypotenuse (Radical) (Level 2)

This math topic focuses on practicing the Pythagorean Theorem, specifically calculating the lengths of missing sides of triangles presented as radical values (square roots). Each problem requires using the theorem to find the length of one or more sides of a right triangle, with answers given in exact square root notation. The problems are intended to reinforce understanding of geometric relationships and algebraic manipulation involving square roots, as well as provide visualization and application of the Pythagorean Theorem in diverse scenarios.

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

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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 2)'. Part of a broader unit on 'Pythagoras - Practice' Learn online: app.mobius.academy/math/units/pythagoras_practice/
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 113
b A LaTex expression showing square root of 15
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 106
b A LaTex expression showing square root of 131
c A LaTex expression showing square root of 56
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 157
b A LaTex expression showing square root of 85
c A LaTex expression showing square root of 229
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 388
b A LaTex expression showing square root of 96
c A LaTex expression showing square root of 267
d A LaTex expression showing square root of 146
e A LaTex expression showing square root of -96
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 56
b A LaTex expression showing square root of 187
c A LaTex expression showing square root of 106
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 157
b A LaTex expression showing square root of 278
c A LaTex expression showing square root of 85
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 349
b A LaTex expression showing square root of 149
c A LaTex expression showing square root of 51
d A LaTex expression showing square root of -51