This math topic provides practice on applying the Pythagorean Theorem to find the length of a side in a right triangle. Specifically, students are asked to solve for unknown sides ('a' or 'b') where all side lengths are integers. Each exercise involves solving an equation of the form \( a^2 + b^2 = c^2 \) to find the missing side, with six questions focusing on this application. This helps solidify the foundational principles of the Pythagorean Theorem and strengthens skills in solving algebraic equations in a geometric context.

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

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Pythagorean Equation from Squares - Length of Side (Integer) Worksheet

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Pythagorean Equation from Squares - Length of Side (Integer)
1
Find the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 4 to the power of 2 = 5 to the power of 2
a
a = 4
b
a = 9
c
a = 2
d
a = 3
e
a = 20
f
a = 6
2
Find the value of 'b' in this equation
A LaTex expression showing 12 to the power of 2 + b to the power of 2 = 20 to the power of 2
a
b = 8
b
b = 10
c
b = 16
d
b = 18
e
b = 14
f
b = 11
3
Find the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 12 to the power of 2 = 13 to the power of 2
a
a = 156
b
a = 1
c
a = 25
d
a = 5
e
a = 3
f
a = 13
4
Find the value of 'b' in this equation
A LaTex expression showing 5 to the power of 2 + b to the power of 2 = 13 to the power of 2
a
b = 13
b
b = 16
c
b = 9
d
b = 11
e
b = 17
f
b = 12
5
Find the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 6 to the power of 2 = 10 to the power of 2
a
a = 4
b
a = 8
c
a = 16
d
a = 11
e
a = 12
f
a = 5
6
Find the value of 'b' in this equation
A LaTex expression showing 16 to the power of 2 + b to the power of 2 = 20 to the power of 2
a
b = 12
b
b = 7
c
b = 10
d
b = 20
e
b = 36
f
b = 11
7
Find the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 5 to the power of 2 = 13 to the power of 2
a
a = 14
b
a = 12
c
a = 10
d
a = 11
e
a = 7
f
a = 8
8
Find the value of 'b' in this equation
A LaTex expression showing 12 to the power of 2 + b to the power of 2 = 15 to the power of 2
a
b = 6
b
b = 27
c
b = 15
d
b = 10
e
b = 9
f
b = 11