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

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.

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

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Values - 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

9+25=c29 + 25 = c^2

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

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Math worksheet on 'Pythagorean Equation from Values - 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 36 + 4 = c to the power of 2
a A LaTex expression showing c = square root of 48
b A LaTex expression showing c = square root of 40
c 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 4 + 4 = c to the power of 2
a A LaTex expression showing c = square root of 12
b A LaTex expression showing c = square root of 0
c A LaTex expression showing c = square root of 8
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 48
b A LaTex expression showing c = square root of 0
c A LaTex expression showing c = square root of 64
d 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 36 + 25 = c to the power of 2
a A LaTex expression showing c = square root of 61
b A LaTex expression showing c = square root of 86
c A LaTex expression showing c = square root of 11
5
Find the radical (square root) for the value of 'c' in this equation
A LaTex expression showing 25 + 25 = c to the power of 2
a A LaTex expression showing c = square root of 50
b A LaTex expression showing c = square root of 0
c A LaTex expression showing c = square root of 100
6
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 57
b A LaTex expression showing c = square root of 41
c A LaTex expression showing c = square root of 9
7
A LaTex expression showing 4 + 16 = 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 12
b A LaTex expression showing c = square root of 20