Pythagorean Equation from Squares - Length of Hypotenuse (Squared Values)

Level 1

This math topic focuses on using the Pythagorean theorem to determine the squared length of the hypotenuse in a right triangle. Students practice calculating the result of summed squared values of the other two sides to find the squared length of the hypotenuse. The problems present various combinations of squared legs (e.g., \( 5^2 + 3^2 \)), and students choose the correct squared value of the hypotenuse from multiple choices. This set of problems is foundational in understanding the properties of right triangles and is valuable in building skills for geometric proofs and applications.

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

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Squares - Length of Hypotenuse (Squared Values)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find what the square of 'c' would be equal to

62+62=c26^2 + 6^2 = c^2

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Pythagorean Equation from Squares - Length of Hypotenuse (Squared Values) Worksheet

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Math worksheet on 'Pythagorean Equation from Squares - Length of Hypotenuse (Squared Values) (Level 1)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/
1
Find what the square of 'c' would be equal to
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 to the power of 2 = 14
b A LaTex expression showing c to the power of 2 = 50
c A LaTex expression showing c to the power of 2 = 1
d A LaTex expression showing c to the power of 2 = 100
e A LaTex expression showing c to the power of 2 = 625
f A LaTex expression showing c to the power of 2 = 109
2
Find what the square of 'c' would be equal to
A LaTex expression showing 5 to the power of 2 + 3 to the power of 2 = c to the power of 2
a A LaTex expression showing c to the power of 2 = 3
b A LaTex expression showing c to the power of 2 = 11
c A LaTex expression showing c to the power of 2 = 17
d A LaTex expression showing c to the power of 2 = 225
e A LaTex expression showing c to the power of 2 = 64
f A LaTex expression showing c to the power of 2 = 34
3
Find what the square of 'c' would be equal to
A LaTex expression showing 4 to the power of 2 + 3 to the power of 2 = c to the power of 2
a A LaTex expression showing c to the power of 2 = 25
b A LaTex expression showing c to the power of 2 = 49
c A LaTex expression showing c to the power of 2 = 17
d A LaTex expression showing c to the power of 2 = 144
e A LaTex expression showing c to the power of 2 = 34
f A LaTex expression showing c to the power of 2 = 70
4
Find what the square of 'c' would be equal to
A LaTex expression showing 2 to the power of 2 + 2 to the power of 2 = c to the power of 2
a A LaTex expression showing c to the power of 2 = 20
b A LaTex expression showing c to the power of 2 = 8
c A LaTex expression showing c to the power of 2 = 1
d A LaTex expression showing c to the power of 2 = 2
e A LaTex expression showing c to the power of 2 = 16
f A LaTex expression showing c to the power of 2 = 4
5
Find what the square of 'c' would be equal to
A LaTex expression showing 6 to the power of 2 + 5 to the power of 2 = c to the power of 2
a A LaTex expression showing c to the power of 2 = 28
b A LaTex expression showing c to the power of 2 = 75
c A LaTex expression showing c to the power of 2 = 38
d A LaTex expression showing c to the power of 2 = 61
e A LaTex expression showing c to the power of 2 = 121
f A LaTex expression showing c to the power of 2 = 107
6
Find what the square of 'c' would be equal to
A LaTex expression showing 2 to the power of 2 + 4 to the power of 2 = c to the power of 2
a A LaTex expression showing c to the power of 2 = 20
b A LaTex expression showing c to the power of 2 = 8
c A LaTex expression showing c to the power of 2 = 36
d A LaTex expression showing c to the power of 2 = 12
e A LaTex expression showing c to the power of 2 = 13
f A LaTex expression showing c to the power of 2 = 1
7
Find what the square of 'c' would be equal to
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 to the power of 2 = 4
b A LaTex expression showing c to the power of 2 = 1
c A LaTex expression showing c to the power of 2 = 20
d A LaTex expression showing c to the power of 2 = 28
e A LaTex expression showing c to the power of 2 = 13
f A LaTex expression showing c to the power of 2 = 36