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

Level 1

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.

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

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Squares - Either Missing Length (Squared Values)

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


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

a2+32=62a^2 + 3^2 = 6^2

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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 'a' would be equal to
A LaTex expression showing a to the power of 2 + 5 to the power of 2 = 8 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 = 59
c A LaTex expression showing a to the power of 2 = 39
d A LaTex expression showing a to the power of 2 = 76
e A LaTex expression showing a to the power of 2 = 85
f A LaTex expression showing a to the power of 2 = 169
2
Find what the square of 'a' would be equal to
A LaTex expression showing a to the power of 2 + 5 to the power of 2 = 6 to the power of 2
a A LaTex expression showing a to the power of 2 = 11
b A LaTex expression showing a to the power of 2 = 900
c A LaTex expression showing a to the power of 2 = 121
d A LaTex expression showing a to the power of 2 = 16
e A LaTex expression showing a to the power of 2 = 3
f A LaTex expression showing a to the power of 2 = 31
3
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 = 7 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 = 8
c A LaTex expression showing b to the power of 2 = 33
d A LaTex expression showing b to the power of 2 = 1
e A LaTex expression showing b to the power of 2 = 40
f A LaTex expression showing b to the power of 2 = 121
4
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 = 110
b A LaTex expression showing b to the power of 2 = 1,296
c A LaTex expression showing b to the power of 2 = 77
d A LaTex expression showing b to the power of 2 = 79
e A LaTex expression showing b to the power of 2 = 65
f A LaTex expression showing b to the power of 2 = 26
5
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 = 5 to the power of 2
a A LaTex expression showing b to the power of 2 = 4
b A LaTex expression showing b to the power of 2 = 21
c A LaTex expression showing b to the power of 2 = 9
d A LaTex expression showing b to the power of 2 = 1
e A LaTex expression showing b to the power of 2 = 400
f A LaTex expression showing b to the power of 2 = 6
6
Find what the square of 'a' would be equal to
A LaTex expression showing a to the power of 2 + 5 to the power of 2 = 7 to the power of 2
a A LaTex expression showing a to the power of 2 = 24
b A LaTex expression showing a to the power of 2 = 144
c A LaTex expression showing a to the power of 2 = 9
d A LaTex expression showing a to the power of 2 = 47
e A LaTex expression showing a to the power of 2 = 79
f A LaTex expression showing a to the power of 2 = 4
7
Find what the square of 'a' would be equal to
A LaTex expression showing a to the power of 2 + 6 to the power of 2 = 7 to the power of 2
a A LaTex expression showing a to the power of 2 = 22
b A LaTex expression showing a to the power of 2 = 21
c A LaTex expression showing a to the power of 2 = 13
d A LaTex expression showing a to the power of 2 = 169
e A LaTex expression showing a to the power of 2 = 2
f A LaTex expression showing a to the power of 2 = 8