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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Math worksheet on 'Pythagorean Equation from Squares - Length of Hypotenuse (Integer) (Level 2)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/
1
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 = 108
b
c = 14
c
c = 18
d
c = 16
e
c = 15
f
c = 11
2
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 = 192
b
c = 17
c
c = 21
d
c = 11
e
c = 20
f
c = 19
3
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 = 21
b
c = 20
c
c = 11
d
c = 28
e
c = 23
f
c = 17
4
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 = 16
b
c = 15
c
c = 17
d
c = 11
e
c = 12
f
c = 18
5
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 = 5
b
c = 6
c
c = 2
d
c = 8
e
c = 7
f
c = 3
6
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 = 10
b
c = 60
c
c = 13
d
c = 11
e
c = 16
f
c = 17
7
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 = 48
b
c = 8
c
c = 10
d
c = 11
e
c = 9
f
c = 5