Pythagorean Equation from Squares - Length of Hypotenuse (Integer)

Level 1

This math topic focuses on applying the Pythagorean theorem to calculate the length of the hypotenuse in right triangles using integer values. Students solve equations of the form \(a^2 + b^2 = c^2\), where 'a' and 'b' are the lengths of the legs, and 'c' is the hypotenuse length. The objective is to find the correct value of 'c' given multiple choice answers for each problem, ensuring that the students understand and can apply the formula to find integer lengths of the hypotenuse in various triangles.

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

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Squares - Length of Hypotenuse (Integer)

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Find the value of 'c' in this equation

122+52=c212^2 + 5^2 = 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 1)'. 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 4 to the power of 2 + 3 to the power of 2 = c to the power of 2
a
c = 7
b
c = 2
c
c = 5
d
c = 8
e
c = 3
f
c = 1
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 = 16
b
c = 13
c
c = 17
d
c = 11
e
c = 12
f
c = 10
3
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 = 60
b
c = 12
c
c = 10
d
c = 9
e
c = 13
f
c = 14
4
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 = 9
c
c = 6
d
c = 11
e
c = 13
f
c = 7
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 = 8
c
c = 7
d
c = 4
e
c = 2
f
c = 6
6
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 = 10
b
c = 5
c
c = 48
d
c = 11
e
c = 13
f
c = 12