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

Level 1

This math topic focuses on utilizing the Pythagorean theorem to determine the length of the hypotenuse given the lengths of the other two sides. The specific skill practiced here involves calculating the squared value of the hypotenuse (c²) when given the squared values of the other two sides (a² and b²). Students are provided with various problem scenarios where they need to apply the equation a² + b² = c², select the correct solution from multiple choices, and thereby enhance their understanding of foundational Pythagorean concepts.

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

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Variables - 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

a2+b2=c2a=3b=5c=?a^2 + b^2 = c^2\\a = 3\\b = 5\\c = ?

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

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Math worksheet on 'Pythagorean Equation from Variables - 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 a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 3\\b = 3\\c = ?
a A LaTex expression showing c to the power of 2 = 26
b A LaTex expression showing c to the power of 2 = 18
c A LaTex expression showing c to the power of 2 = 58
d A LaTex expression showing c to the power of 2 = 3
e A LaTex expression showing c to the power of 2 = 1
f A LaTex expression showing c to the power of 2 = 35
2
Find what the square of 'c' would be equal to
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 3\\b = 6\\c = ?
a A LaTex expression showing c to the power of 2 = 18
b A LaTex expression showing c to the power of 2 = 45
c A LaTex expression showing c to the power of 2 = 57
d A LaTex expression showing c to the power of 2 = 81
e A LaTex expression showing c to the power of 2 = 101
f A LaTex expression showing c to the power of 2 = 11
3
Find what the square of 'c' would be equal to
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 3\\b = 2\\c = ?
a A LaTex expression showing c to the power of 2 = 36
b A LaTex expression showing c to the power of 2 = 38
c A LaTex expression showing c to the power of 2 = 8
d A LaTex expression showing c to the power of 2 = 13
e A LaTex expression showing c to the power of 2 = 4
f A LaTex expression showing c to the power of 2 = 1
4
Find what the square of 'c' would be equal to
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 5\\b = 5\\c = ?
a A LaTex expression showing c to the power of 2 = 8
b A LaTex expression showing c to the power of 2 = 92
c A LaTex expression showing c to the power of 2 = 625
d A LaTex expression showing c to the power of 2 = 63
e A LaTex expression showing c to the power of 2 = 50
f A LaTex expression showing c to the power of 2 = 109
5
Find what the square of 'c' would be equal to
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 4\\b = 2\\c = ?
a A LaTex expression showing c to the power of 2 = 28
b A LaTex expression showing c to the power of 2 = 4
c A LaTex expression showing c to the power of 2 = 36
d A LaTex expression showing c to the power of 2 = 1
e A LaTex expression showing c to the power of 2 = 20
f A LaTex expression showing c to the power of 2 = 64
6
Find what the square of 'c' would be equal to
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 4\\b = 5\\c = ?
a A LaTex expression showing c to the power of 2 = 80
b A LaTex expression showing c to the power of 2 = 31
c A LaTex expression showing c to the power of 2 = 65
d A LaTex expression showing c to the power of 2 = 41
e A LaTex expression showing c to the power of 2 = 9
f A LaTex expression showing c to the power of 2 = 5
7
Find what the square of 'c' would be equal to
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 3\\b = 4\\c = ?
a A LaTex expression showing c to the power of 2 = 49
b A LaTex expression showing c to the power of 2 = 1
c A LaTex expression showing c to the power of 2 = 25
d A LaTex expression showing c to the power of 2 = 3
e A LaTex expression showing c to the power of 2 = 6
f A LaTex expression showing c to the power of 2 = 57