This math topic focuses on using the Pythagorean theorem to calculate the hypotenuse of a right triangle. The problems specifically require finding the radical (square root) for the value of the hypotenuse labeled as 'c' in given equations. Each question presents an equation where the legs' squared values are summed, and students must determine the square root of this sum to solve for 'c'. Multiple choice answers are provided, promoting understanding of squaring and square roots in the context of the Pythagorean theorem. This is part of a broader unit on Pythagoras' foundations.

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

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Pythagorean Equation from Values - Length of Hypotenuse (Radical)
1
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 32
b A LaTex expression showing c = square root of 0
c A LaTex expression showing c = square root of 64
2
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 28
b A LaTex expression showing c = square root of 20
c A LaTex expression showing c = square root of 12
3
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 112
b A LaTex expression showing c = square root of 40
c A LaTex expression showing c = square root of 32
4
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 79
b A LaTex expression showing c = square root of 21
c A LaTex expression showing c = square root of 29
5
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 36 + 25 = c to the power of 2
a A LaTex expression showing c = square root of 11
b A LaTex expression showing c = square root of 86
c A LaTex expression showing c = square root of 61
6
A LaTex expression showing 36 + 9 = 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 27
b A LaTex expression showing c = square root of 45
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 25
b A LaTex expression showing c = square root of 7
c A LaTex expression showing c = square root of 57
8
A LaTex expression showing 9 + 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 5
b A LaTex expression showing c = square root of 13