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.

more
View

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

Mobius Math Academy logo
Pythagorean Equation from Squares - Either Missing Length (Squared Values)
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 = 32
b A LaTex expression showing a to the power of 2 = 47
c A LaTex expression showing a to the power of 2 = 2
d A LaTex expression showing a to the power of 2 = 59
e A LaTex expression showing a to the power of 2 = 76
f A LaTex expression showing a to the power of 2 = 39
2
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 = 8 to the power of 2
a A LaTex expression showing a to the power of 2 = 100
b A LaTex expression showing a to the power of 2 = 256
c A LaTex expression showing a to the power of 2 = 60
d A LaTex expression showing a to the power of 2 = 22
e A LaTex expression showing a to the power of 2 = 8
f A LaTex expression showing a to the power of 2 = 23
3
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 = 6 to the power of 2
a A LaTex expression showing a to the power of 2 = 53
b A LaTex expression showing a to the power of 2 = 52
c A LaTex expression showing a to the power of 2 = 81
d A LaTex expression showing a to the power of 2 = 10
e A LaTex expression showing a to the power of 2 = 27
f A LaTex expression showing a to the power of 2 = 33
4
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 = 25
b A LaTex expression showing b to the power of 2 = 36
c A LaTex expression showing b to the power of 2 = 1
d A LaTex expression showing b to the power of 2 = 7
e A LaTex expression showing b to the power of 2 = 6
f A LaTex expression showing b to the power of 2 = 5
5
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 = 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 = 130
c A LaTex expression showing b to the power of 2 = 49
d A LaTex expression showing b to the power of 2 = 79
e A LaTex expression showing b to the power of 2 = 38
f A LaTex expression showing b to the power of 2 = 116
6
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 = 13
b A LaTex expression showing a to the power of 2 = 1
c A LaTex expression showing a to the power of 2 = 1,764
d A LaTex expression showing a to the power of 2 = 6
e A LaTex expression showing a to the power of 2 = 169
f A LaTex expression showing a to the power of 2 = 21
7
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 = 79
b A LaTex expression showing a to the power of 2 = 29
c A LaTex expression showing a to the power of 2 = 14
d A LaTex expression showing a to the power of 2 = 55
e A LaTex expression showing a to the power of 2 = 130
f A LaTex expression showing a to the power of 2 = 61
8
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 = 8 to the power of 2
a A LaTex expression showing a to the power of 2 = 28
b A LaTex expression showing a to the power of 2 = 34
c A LaTex expression showing a to the power of 2 = 69
d A LaTex expression showing a to the power of 2 = 53
e A LaTex expression showing a to the power of 2 = 58
f A LaTex expression showing a to the power of 2 = 55