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.

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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 'a' in this equation
A LaTex expression showing a to the power of 2 + 16 = 64
a A LaTex expression showing a = square root of 112
b A LaTex expression showing a = square root of 48
c A LaTex expression showing a = square root of 176
2
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 146
b A LaTex expression showing b = square root of 65
c A LaTex expression showing b = square root of 227
3
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 25 + 36 = c to the power of 2
a A LaTex expression showing c = square root of 133
b A LaTex expression showing c = square root of 61
c A LaTex expression showing c = square root of 11
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 27
b A LaTex expression showing c = square root of 45
c A LaTex expression showing c = square root of 117
5
A LaTex expression showing 25 + 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 21
b A LaTex expression showing c = square root of 29
6
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 16 + 9 = c to the power of 2
a A LaTex expression showing c = square root of 43
b A LaTex expression showing c = square root of 7
c A LaTex expression showing c = square root of 25
7
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