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

Level 1

This math topic focuses on applying the Pythagorean theorem to find the square of a variable side length in right triangles. It helps enhance skills in interpreting equations involving squared values and improves problem-solving abilities by computing missing side lengths given the measurements of the other sides. The problems are structured as questions with provided equations and multiple-choice answers, assisting learners in connecting algebraic expressions with geometric concepts.

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

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Variables - Length of Side (Squared Values)

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


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

a2+b2=c2a=6b=?c=8a^2 + b^2 = c^2\\a = 6\\b = ?\\c = 8

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

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Math worksheet on 'Pythagorean Equation from Variables - Length of Side (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 'b' 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 = ?\\c = 8
a A LaTex expression showing b to the power of 2 = 55
b A LaTex expression showing b to the power of 2 = 67
c A LaTex expression showing b to the power of 2 = 6
d A LaTex expression showing b to the power of 2 = 61
e A LaTex expression showing b to the power of 2 = 576
f A LaTex expression showing b to the power of 2 = 27
2
Find what the square of 'b' 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 = ?\\c = 7
a A LaTex expression showing b to the power of 2 = 68
b A LaTex expression showing b to the power of 2 = 69
c A LaTex expression showing b to the power of 2 = 2
d A LaTex expression showing b to the power of 2 = 40
e A LaTex expression showing b to the power of 2 = 10
f A LaTex expression showing b to the power of 2 = 5
3
Find what the square of 'b' 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 = ?\\c = 9
a A LaTex expression showing b to the power of 2 = 144
b A LaTex expression showing b to the power of 2 = 72
c A LaTex expression showing b to the power of 2 = 110
d A LaTex expression showing b to the power of 2 = 729
e A LaTex expression showing b to the power of 2 = 78
f A LaTex expression showing b to the power of 2 = 30
4
Find what the square of 'b' 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 = ?\\c = 8
a A LaTex expression showing b to the power of 2 = 1,024
b A LaTex expression showing b to the power of 2 = 119
c A LaTex expression showing b to the power of 2 = 144
d A LaTex expression showing b to the power of 2 = 48
e A LaTex expression showing b to the power of 2 = 15
f A LaTex expression showing b to the power of 2 = 4
5
Find what the square of 'a' 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 = ?\\b = 2\\c = 4
a A LaTex expression showing a to the power of 2 = 3
b A LaTex expression showing a to the power of 2 = 2
c A LaTex expression showing a to the power of 2 = 12
d A LaTex expression showing a to the power of 2 = 8
e A LaTex expression showing a to the power of 2 = 24
f A LaTex expression showing a to the power of 2 = 14
6
Find what the square of 'b' 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 = ?\\c = 6
a A LaTex expression showing b to the power of 2 = 5
b A LaTex expression showing b to the power of 2 = 54
c A LaTex expression showing b to the power of 2 = 11
d A LaTex expression showing b to the power of 2 = 19
e A LaTex expression showing b to the power of 2 = 1
f A LaTex expression showing b to the power of 2 = 900
7
Find what the square of 'a' 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 = ?\\b = 4\\c = 7
a A LaTex expression showing a to the power of 2 = 33
b A LaTex expression showing a to the power of 2 = 121
c A LaTex expression showing a to the power of 2 = 45
d A LaTex expression showing a to the power of 2 = 21
e A LaTex expression showing a to the power of 2 = 48
f A LaTex expression showing a to the power of 2 = 56