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

Level 1

This math topic involves solving problems based on the Pythagorean theorem, focusing specifically on calculating the square of the hypotenuse ('c') given the squares of the other two sides of a right triangle. Each question presents a simple equation where the sum of two squared values needs to match one of the multiple-choice answers, which also represent squared values. This fundamental practice strengthens understanding of the relation between the sides of a right triangle and enhances algebraic manipulation skills in finding the length of a hypotenuse squared.

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

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Values - 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

16+16=c216 + 16 = c^2

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

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Math worksheet on 'Pythagorean Equation from Values - 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 16 + 9 = 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 = 6
c A LaTex expression showing c to the power of 2 = 144
d A LaTex expression showing c to the power of 2 = 11
e A LaTex expression showing c to the power of 2 = 49
f A LaTex expression showing c to the power of 2 = 7
2
Find what the square of 'c' would be equal to
A LaTex expression showing 4 + 4 = 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 = 16
c A LaTex expression showing c to the power of 2 = 13
d A LaTex expression showing c to the power of 2 = 1
e A LaTex expression showing c to the power of 2 = 4
f A LaTex expression showing c to the power of 2 = 8
3
Find what the square of 'c' would be equal to
A LaTex expression showing 4 + 25 = c to the power of 2
a A LaTex expression showing c to the power of 2 = 62
b A LaTex expression showing c to the power of 2 = 29
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 = 76
f A LaTex expression showing c to the power of 2 = 8
4
Find what the square of 'c' would be equal to
A LaTex expression showing 25 + 9 = c to the power of 2
a A LaTex expression showing c to the power of 2 = 34
b A LaTex expression showing c to the power of 2 = 45
c A LaTex expression showing c to the power of 2 = 17
d A LaTex expression showing c to the power of 2 = 25
e A LaTex expression showing c to the power of 2 = 16
f A LaTex expression showing c to the power of 2 = 3
5
Find what the square of 'c' would be equal to
A LaTex expression showing 9 + 4 = c to the power of 2
a A LaTex expression showing c to the power of 2 = 36
b A LaTex expression showing c to the power of 2 = 49
c A LaTex expression showing c to the power of 2 = 25
d A LaTex expression showing c to the power of 2 = 13
e A LaTex expression showing c to the power of 2 = 1
f A LaTex expression showing c to the power of 2 = 28
6
Find what the square of 'c' would be equal to
A LaTex expression showing 36 + 9 = c to the power of 2
a A LaTex expression showing c to the power of 2 = 101
b A LaTex expression showing c to the power of 2 = 81
c A LaTex expression showing c to the power of 2 = 6
d A LaTex expression showing c to the power of 2 = 45
e A LaTex expression showing c to the power of 2 = 27
f A LaTex expression showing c to the power of 2 = 324
7
Find what the square of 'c' would be equal to
A LaTex expression showing 36 + 36 = c to the power of 2
a A LaTex expression showing c to the power of 2 = 36
b A LaTex expression showing c to the power of 2 = 18
c A LaTex expression showing c to the power of 2 = 72
d A LaTex expression showing c to the power of 2 = 1,296
e A LaTex expression showing c to the power of 2 = 1
f A LaTex expression showing c to the power of 2 = 26