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.

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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 = 4\\b = ?\\c = 9
a A LaTex expression showing b to the power of 2 = 65
b A LaTex expression showing b to the power of 2 = 77
c A LaTex expression showing b to the power of 2 = 122
d A LaTex expression showing b to the power of 2 = 17
e A LaTex expression showing b to the power of 2 = 110
f A LaTex expression showing b to the power of 2 = 53
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 = 6\\b = ?\\c = 7
a A LaTex expression showing b to the power of 2 = 3
b A LaTex expression showing b to the power of 2 = 1
c A LaTex expression showing b to the power of 2 = 25
d A LaTex expression showing b to the power of 2 = 5
e A LaTex expression showing b to the power of 2 = 16
f A LaTex expression showing b to the power of 2 = 13
3
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 = 6
a A LaTex expression showing a to the power of 2 = 32
b A LaTex expression showing a to the power of 2 = 144
c A LaTex expression showing a to the power of 2 = 8
d A LaTex expression showing a to the power of 2 = 39
e A LaTex expression showing a to the power of 2 = 20
f A LaTex expression showing a to the power of 2 = 7
4
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 = 8
a A LaTex expression showing a to the power of 2 = 8
b A LaTex expression showing a to the power of 2 = 115
c A LaTex expression showing a to the power of 2 = 60
d A LaTex expression showing a to the power of 2 = 100
e A LaTex expression showing a to the power of 2 = 95
f A LaTex expression showing a to the power of 2 = 22
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 = 5
a A LaTex expression showing a to the power of 2 = 43
b A LaTex expression showing a to the power of 2 = 5
c A LaTex expression showing a to the power of 2 = 23
d A LaTex expression showing a to the power of 2 = 21
e A LaTex expression showing a to the power of 2 = 100
f A LaTex expression showing a to the power of 2 = 17
6
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 = 15
b A LaTex expression showing a to the power of 2 = 8
c A LaTex expression showing a to the power of 2 = 42
d A LaTex expression showing a to the power of 2 = 12
e A LaTex expression showing a to the power of 2 = 20
f A LaTex expression showing a to the power of 2 = 36
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 = 5\\c = 7
a A LaTex expression showing a to the power of 2 = 47
b A LaTex expression showing a to the power of 2 = 1,225
c A LaTex expression showing a to the power of 2 = 15
d A LaTex expression showing a to the power of 2 = 24
e A LaTex expression showing a to the power of 2 = 12
f A LaTex expression showing a to the power of 2 = 44
Pythagorean Equation from Variables - Length of Side (Squared Values) (Level 1) - Mobius Math