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Pythagorean Equation from Squares - Length of Hypotenuse (Radical) (Level 1)

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.

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

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Squares - Length of Hypotenuse (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

42+62=c24^2 + 6^2 = c^2

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

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Math worksheet on 'Pythagorean Equation from Squares - Length of Hypotenuse (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 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 16
b A LaTex expression showing c = square root of 84
c A LaTex expression showing c = square root of 34
d A LaTex expression showing c = square root of 59
2
A LaTex expression showing 6 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 61
b A LaTex expression showing c = square root of 11
3
A LaTex expression showing 6 to the power of 2 + 3 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 45
b A LaTex expression showing c = square root of 27
4
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 9
b A LaTex expression showing c = square root of 41
c A LaTex expression showing c = square root of 57
5
A LaTex expression showing 3 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 7
b A LaTex expression showing c = square root of 25
6
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 2 to the power of 2 + 3 to the power of 2 = c to the power of 2
a A LaTex expression showing c = square root of 31
b A LaTex expression showing c = square root of 5
c A LaTex expression showing c = square root of 13
7
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 2 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 76
b A LaTex expression showing c = square root of 40
c A LaTex expression showing c = square root of 32