Either Missing Length (Radical) (Level 2)

This math topic focuses on using the Pythagorean Theorem to find the length of missing sides in various two-dimensional shapes, with answers presented as square root values. It introduces participants to foundational concepts in dealing with three-dimensional geometric scenarios by applying this classic theorem to find unknown lengths, enhancing their skills in algebraic manipulation and understanding of radical expressions. The problems are structured to develop and reinforce the ability to calculate precise side lengths necessary for more complex geometry involved in three-dimensional spaces.

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

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Pythagorean Theorem - Either Missing Length (Radical) Worksheet

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Math worksheet on 'Pythagorean Theorem - Either Missing Length (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 m=square root of 0
b A LaTex expression showing m=square root of 242
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 192
b A LaTex expression showing y=square root of 0
c A LaTex expression showing y=square root of 256
d A LaTex expression showing y=square root of 128
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 y=square root of 139
b A LaTex expression showing y=square root of 39
c A LaTex expression showing y=square root of 89
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 x=square root of 21
b A LaTex expression showing x=square root of 321
c A LaTex expression showing x=square root of 221
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 r=square root of 80
b A LaTex expression showing r=square root of 368
c A LaTex expression showing r=square root of 224
d A LaTex expression showing r=square root of 496
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 n=square root of 105
b A LaTex expression showing n=square root of 137
c A LaTex expression showing n=square root of 169
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 m=square root of 177
b A LaTex expression showing m=square root of 113
c A LaTex expression showing m=square root of 15
Pythagorean Theorem - Either Missing Length (Radical) (Level 2) - Mobius Math