Pythagorean Theorem - 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.

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Either Missing Length (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 - 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 - Intro' Learn online: app.mobius.academy/math/units/pythagoras_intro/
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 square root of 149
b A LaTex expression showing square root of 51
c A LaTex expression showing square root of 249
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 281
b A LaTex expression showing square root of -19
c A LaTex expression showing square root of 181
d A LaTex expression showing square root of 19
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 386
b A LaTex expression showing square root of 48
c A LaTex expression showing square root of 217
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 125
b A LaTex expression showing square root of 75
c A LaTex expression showing square root of 150
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 115
b A LaTex expression showing square root of 473
c A LaTex expression showing square root of 507
d A LaTex expression showing square root of 277
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 216
b A LaTex expression showing square root of 84
c A LaTex expression showing square root of 116
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 -48
b A LaTex expression showing square root of 48
c A LaTex expression showing square root of 80
d A LaTex expression showing square root of 144