This math topic focuses on using the Pythagorean theorem to find the length of the hypotenuse in a right triangle when given the lengths of the other two sides (legs) as integers. Each problem presents an equation based on the theorem format \(a^2 + b^2 = c^2\), and students have multiple choice answers to determine the correct length (c) of the hypotenuse. These problems aim to strengthen understanding and application of the Pythagorean theorem within a foundational context of Pythagorean mathematics.

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

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Pythagorean Equation from Squares - Length of Hypotenuse (Integer)
1
Find the value of 'c' in this equation
A LaTex expression showing 12 to the power of 2 + 5 to the power of 2 = c to the power of 2
a
c = 16
b
c = 17
c
c = 13
d
c = 11
e
c = 60
f
c = 10
2
Find the value of 'c' in this equation
A LaTex expression showing 9 to the power of 2 + 12 to the power of 2 = c to the power of 2
a
c = 15
b
c = 18
c
c = 11
d
c = 108
e
c = 14
f
c = 16
3
Find the value of 'c' in this equation
A LaTex expression showing 8 to the power of 2 + 6 to the power of 2 = c to the power of 2
a
c = 48
b
c = 6
c
c = 9
d
c = 13
e
c = 8
f
c = 10
4
Find the value of 'c' in this equation
A LaTex expression showing 12 to the power of 2 + 16 to the power of 2 = c to the power of 2
a
c = 11
b
c = 20
c
c = 17
d
c = 19
e
c = 192
f
c = 21
5
Find the value of 'c' in this equation
A LaTex expression showing 16 to the power of 2 + 12 to the power of 2 = c to the power of 2
a
c = 28
b
c = 17
c
c = 20
d
c = 11
e
c = 21
f
c = 23
6
Find the value of 'c' in this equation
A LaTex expression showing 6 to the power of 2 + 8 to the power of 2 = c to the power of 2
a
c = 10
b
c = 11
c
c = 5
d
c = 48
e
c = 8
f
c = 9
7
Find the value of 'c' in this equation
A LaTex expression showing 3 to the power of 2 + 4 to the power of 2 = c to the power of 2
a
c = 3
b
c = 5
c
c = 8
d
c = 2
e
c = 6
f
c = 7
8
Find the value of 'c' in this equation
A LaTex expression showing 12 to the power of 2 + 9 to the power of 2 = c to the power of 2
a
c = 12
b
c = 18
c
c = 15
d
c = 16
e
c = 11
f
c = 17