This math topic focuses on practicing the Pythagorean theorem by solving for the length of the hypotenuse ('c') in right triangles. Students apply the theorem to find the radical (square root) of the sum of the squares of two given sides. Multiple choice answers accompany each problem, involving calculations to determine the correct square root of the summation results. The topic helps strengthen foundational skills in understanding and applying the Pythagorean theorem in geometric contexts.

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

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Values - Length of Side (Radical)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the radical (square root) for the value of 'c' in this equation

9+25=c29 + 25 = c^2

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Pythagorean Equation from Values - Length of Side (Radical) Worksheet

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Math worksheet on 'Pythagorean Equation from Values - Length of Side (Radical) (Level 1)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/
1
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 16 + 4 = c to the power of 2
a A LaTex expression showing c = square root of 20
b A LaTex expression showing c = square root of 28
c A LaTex expression showing c = square root of 12
2
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 9 + 16 = c to the power of 2
a A LaTex expression showing c = square root of -7
b A LaTex expression showing c = square root of 7
c A LaTex expression showing c = square root of 25
3
Find the radical (square root) for the value of 'b' in this equation
A LaTex expression showing 16 + b to the power of 2 = 81
a A LaTex expression showing b = square root of 65
b A LaTex expression showing b = square root of 146
c A LaTex expression showing b = square root of 227
4
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 9 + 36 = c to the power of 2
a A LaTex expression showing c = square root of 45
b A LaTex expression showing c = square root of 117
c A LaTex expression showing c = square root of 27
5
Find the radical (square root) for the value of 'b' in this equation
A LaTex expression showing 36 + b to the power of 2 = 49
a A LaTex expression showing b = square root of 85
b A LaTex expression showing b = square root of 111
c A LaTex expression showing b = square root of 183
d A LaTex expression showing b = square root of 13
6
A LaTex expression showing 4 + 4 = c to the power of 2
Find the radical (square root) for the value of 'c' in this equation
a A LaTex expression showing c = square root of 8
b A LaTex expression showing c = square root of 0
7
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 36 + 9 = c to the power of 2
a A LaTex expression showing c = square root of 63
b A LaTex expression showing c = square root of 45
c A LaTex expression showing c = square root of 27