Pythagorean Equation from Squares - Length of Hypotenuse (Integer)

Level 2

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.

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

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Squares - Length of Hypotenuse (Integer)

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


Find the value of 'c' in this equation

62+82=c26^2 + 8^2 = c^2

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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 5 to the power of 2 + 12 to the power of 2 = c to the power of 2
a
c = 10
b
c = 13
c
c = 17
d
c = 12
e
c = 15
f
c = 60
2
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 = 13
b
c = 10
c
c = 60
d
c = 17
e
c = 11
f
c = 16
3
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 = 17
b
c = 23
c
c = 11
d
c = 20
e
c = 22
f
c = 19
4
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 = 5
c
c = 7
d
c = 11
e
c = 10
f
c = 13
5
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 = 6
b
c = 12
c
c = 7
d
c = 10
e
c = 11
f
c = 8
6
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 = 6
b
c = 3
c
c = 1
d
c = 2
e
c = 5
f
c = 7
7
Find the value of 'c' in this equation
A LaTex expression showing 4 to the power of 2 + 3 to the power of 2 = c to the power of 2
a
c = 4
b
c = 2
c
c = 8
d
c = 5
e
c = 3
f
c = 7