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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Pythagorean Equation from Values - Length of Side (Radical)
1
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 25 + 16 = c to the power of 2
a A LaTex expression showing c = square root of 9
b A LaTex expression showing c = square root of 73
c A LaTex expression showing c = square root of 41
2
Find the radical (square root) for the value of 'b' in this equation
A LaTex expression showing 4 + b to the power of 2 = 16
a A LaTex expression showing b = square root of 12
b A LaTex expression showing b = square root of 28
c A LaTex expression showing b = square root of 44
d A LaTex expression showing b = square root of 36
e A LaTex expression showing b = square root of 52
3
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 16 + 16 = c to the power of 2
a A LaTex expression showing c = square root of 0
b A LaTex expression showing c = square root of 32
c A LaTex expression showing c = square root of 64
4
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 25
c A LaTex expression showing c = square root of 7
5
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 4 + 36 = c to the power of 2
a A LaTex expression showing c = square root of 76
b A LaTex expression showing c = square root of 32
c A LaTex expression showing c = square root of 40
d A LaTex expression showing c = square root of 112
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 'a' in this equation
A LaTex expression showing a to the power of 2 + 4 = 49
a A LaTex expression showing a = square root of 143
b A LaTex expression showing a = square root of 102
c A LaTex expression showing a = square root of 94
d A LaTex expression showing a = square root of 45
8
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 4 + 25 = c to the power of 2
a A LaTex expression showing c = square root of 21
b A LaTex expression showing c = square root of 29
c A LaTex expression showing c = square root of 54