This topic focuses on practicing the Pythagorean theorem, which asserts the relationship between the squares of the lengths of the sides of a right triangle. Students are asked to find missing sides in various configurations, by solving equations such as \( a^2 + b^2 = c^2 \), where \( a \), \( b \), and \( c \) typically represent the lengths of the triangle's sides. The goal is to deduce either \( a^2 \) or \( b^2 \) given the squared values of the other two sides. This skill forms a foundation for understanding geometric relations in two-dimensional spaces.

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Pythagorean Equation from Squares - Either Missing Length (Squared Values) Worksheet

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Math worksheet on 'Pythagorean Equation from Squares - Either Missing Length (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 4 to the power of 2 + b to the power of 2 = 9 to the power of 2
a A LaTex expression showing b to the power of 2 = 77
b A LaTex expression showing b to the power of 2 = 42
c A LaTex expression showing b to the power of 2 = 23
d A LaTex expression showing b to the power of 2 = 65
e A LaTex expression showing b to the power of 2 = 110
f A LaTex expression showing b to the power of 2 = 16
2
Find what the square of 'b' would be equal to
A LaTex expression showing 2 to the power of 2 + b to the power of 2 = 3 to the power of 2
a A LaTex expression showing b to the power of 2 = 5
b A LaTex expression showing b to the power of 2 = 7
c A LaTex expression showing b to the power of 2 = 36
d A LaTex expression showing b to the power of 2 = 25
e A LaTex expression showing b to the power of 2 = 6
f A LaTex expression showing b to the power of 2 = 1
3
Find what the square of 'b' would be equal to
A LaTex expression showing 2 to the power of 2 + b to the power of 2 = 4 to the power of 2
a A LaTex expression showing b to the power of 2 = 12
b A LaTex expression showing b to the power of 2 = 36
c A LaTex expression showing b to the power of 2 = 8
d A LaTex expression showing b to the power of 2 = 6
e A LaTex expression showing b to the power of 2 = 20
f A LaTex expression showing b to the power of 2 = 64
4
Find what the square of 'a' would be equal to
A LaTex expression showing a to the power of 2 + 3 to the power of 2 = 8 to the power of 2
a A LaTex expression showing a to the power of 2 = 130
b A LaTex expression showing a to the power of 2 = 14
c A LaTex expression showing a to the power of 2 = 55
d A LaTex expression showing a to the power of 2 = 61
e A LaTex expression showing a to the power of 2 = 29
f A LaTex expression showing a to the power of 2 = 79
5
Find what the square of 'b' would be equal to
A LaTex expression showing 3 to the power of 2 + b to the power of 2 = 6 to the power of 2
a A LaTex expression showing b to the power of 2 = 53
b A LaTex expression showing b to the power of 2 = 85
c A LaTex expression showing b to the power of 2 = 27
d A LaTex expression showing b to the power of 2 = 52
e A LaTex expression showing b to the power of 2 = 324
f A LaTex expression showing b to the power of 2 = 33
6
Find what the square of 'a' would be equal to
A LaTex expression showing a to the power of 2 + 2 to the power of 2 = 9 to the power of 2
a A LaTex expression showing a to the power of 2 = 14
b A LaTex expression showing a to the power of 2 = 60
c A LaTex expression showing a to the power of 2 = 33
d A LaTex expression showing a to the power of 2 = 77
e A LaTex expression showing a to the power of 2 = 151
f A LaTex expression showing a to the power of 2 = 96
7
Find what the square of 'b' would be equal to
A LaTex expression showing 5 to the power of 2 + b to the power of 2 = 6 to the power of 2
a A LaTex expression showing b to the power of 2 = 9
b A LaTex expression showing b to the power of 2 = 900
c A LaTex expression showing b to the power of 2 = 54
d A LaTex expression showing b to the power of 2 = 19
e A LaTex expression showing b to the power of 2 = 11
f A LaTex expression showing b to the power of 2 = 31