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Pythagorean Equation from Squares - Length of Hypotenuse (Decimal) (Level 1)

This math topic focuses on applying the Pythagorean theorem to calculate the length of the hypotenuse in right triangles, using decimal values. The problems present equations where the squares of the two shorter sides (legs) of the triangles are known, and students must determine the length of the hypotenuse (labeled as 'c'). Each question provides multiple choice answers, encouraging the application and practice of solving quadratic equations derived from the Pythagorean theorem to find the hypotenuse in varying scenarios. This forms the foundational knowledge of Pythagorean theorem principles.

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

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Squares - Length of Hypotenuse (Decimal)

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Approximate the value of 'c' in this equation

42+62=c24^2 + 6^2 = c^2

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

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Math worksheet on 'Pythagorean Equation from Squares - Length of Hypotenuse (Decimal) (Level 1)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/
1
Approximate the value of 'c' in this equation
A LaTex expression showing 3 to the power of 2 + 5 to the power of 2 = c to the power of 2
a
c = 2.5
b
c = 9.2
c
c = 5.8
d
c = 6.7
e
c = 8.4
f
c = 15
2
Approximate the value of 'c' in this equation
A LaTex expression showing 6 to the power of 2 + 4 to the power of 2 = c to the power of 2
a
c = 8.1
b
c = 10
c
c = 6.4
d
c = 3
e
c = 5.5
f
c = 7.2
3
Approximate the value of 'c' in this equation
A LaTex expression showing 3 to the power of 2 + 3 to the power of 2 = c to the power of 2
a
c = 9
b
c = 4.2
c
c = 2.6
d
c = 1
e
c = 5.9
f
c = 6.8
4
Approximate 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 = 5.8
b
c = 5
c
c = 7.5
d
c = 7
e
c = 4.2
f
c = 1.6
5
Approximate the value of 'c' in this equation
A LaTex expression showing 2 to the power of 2 + 2 to the power of 2 = c to the power of 2
a
c = 2.8
b
c = 2
c
c = 1
d
c = 4.5
e
c = 1.4
f
c = 4
6
Approximate the value of 'c' in this equation
A LaTex expression showing 4 to the power of 2 + 6 to the power of 2 = c to the power of 2
a
c = 3
b
c = 9.7
c
c = 6.4
d
c = 8.1
e
c = 7.2
f
c = 24
7
Approximate the value of 'c' in this equation
A LaTex expression showing 4 to the power of 2 + 5 to the power of 2 = c to the power of 2
a
c = 6.4
b
c = 7.2
c
c = 9
d
c = 2.2
e
c = 5.6
f
c = 20