Either Missing Length (Radical) (Level 1)

This math topic covers the Pythagorean Theorem focusing on finding the missing length in simple 2D triangles and extends to a 3D introductory context. The problems require calculating the length of a missing side represented as the square root of a number, providing real-world applications of this theorem. Each question is accompanied by multiple choice answers, presented as different square root values, which strengthens understanding of radical expressions and reinforces practical solving skills in geometry.

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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Pythagorean Theorem - Either Missing Length (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 d=square root of 24
b A LaTex expression showing d=square root of 74
c A LaTex expression showing d=square root of -24
d A LaTex expression showing d=square root of 123
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 x=square root of 11
b A LaTex expression showing x=square root of -11
c A LaTex expression showing x=square root of 61
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 m=square root of 175
b A LaTex expression showing m=square root of 75
c A LaTex expression showing m=square root of 275
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 m=square root of 48
b A LaTex expression showing m=square root of 208
c A LaTex expression showing m=square root of 144
d A LaTex expression showing m=square root of 176
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 m=square root of 40
b A LaTex expression showing m=square root of 58
c A LaTex expression showing m=square root of 156
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 r=square root of 11
b A LaTex expression showing r=square root of 83
c A LaTex expression showing r=square root of 47
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 y=square root of 32
b A LaTex expression showing y=square root of 76
c A LaTex expression showing y=square root of 40
d A LaTex expression showing y=square root of 112
8
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 y=square root of 0
b A LaTex expression showing y=square root of 98