This math topic focuses on using the Pythagorean theorem to find the length of the hypotenuse of a right triangle, expressed as a radical (square root). Each question presents a Pythagorean equation where learners must solve for the variable 'c', representing the hypotenuse, by first calculating the sum of squares of the other two sides and then determining the square root of this sum. Multiple choice answers are provided, testing the learner's ability to correctly apply the theorem and perform square root calculations.

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

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Pythagorean Equation from Squares - Length of Hypotenuse (Radical)
1
A LaTex expression showing 4 to the power of 2 + 4 to the power of 2 = 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 0
b A LaTex expression showing c = square root of 32
2
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 5 to the power of 2 + 4 to the power of 2 = c to the power of 2
a A LaTex expression showing c = square root of 41
b A LaTex expression showing c = square root of 73
c A LaTex expression showing c = square root of 9
3
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 3 to the power of 2 + 5 to the power of 2 = c to the power of 2
a A LaTex expression showing c = square root of 34
b A LaTex expression showing c = square root of 16
c A LaTex expression showing c = square root of -16
4
A LaTex expression showing 6 to the power of 2 + 6 to the power of 2 = 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 72
b A LaTex expression showing c = square root of 0
5
A LaTex expression showing 2 to the power of 2 + 5 to the power of 2 = 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 3 to the power of 2 + 6 to the power of 2 = 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 27
c A LaTex expression showing c = square root of 81
7
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 5 to the power of 2 + 5 to the power of 2 = 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 75
c A LaTex expression showing c = square root of 50
8
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 4 to the power of 2 + 2 to the power of 2 = 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