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

This math topic focuses on using the Pythagorean theorem to find the length of the hypotenuse in a right triangle, where the values of the other two sides are given in decimal form. Students are asked to approximate the hypotenuse's value from a selection of multiple-choice answers. It cultivates skills in applying the theorem, performing calculations with squares and square roots, and handling decimal numbers. This is part of a foundational set of problems related to the broader concept of Pythagorean fundamentals.

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

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Variables - Length of Hypotenuse (Decimal)

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Approximate the value of 'c' in this equation

a2+b2=c2a=6b=5c=?a^2 + b^2 = c^2\\a = 6\\b = 5\\c = ?

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

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Math worksheet on 'Pythagorean Equation from Variables - 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 a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 2\\b = 4\\c = ?
a
c = 1
b
c = 4.5
c
c = 6.2
d
c = 3.6
e
c = 5.3
f
c = 1.1
2
Approximate the value of 'c' in this equation
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 2\\b = 2\\c = ?
a
c = 4
b
c = 2.8
c
c = 1.4
d
c = 1.1
e
c = 1
f
c = 4.5
3
Approximate the value of 'c' in this equation
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 4\\b = 5\\c = ?
a
c = 8.9
b
c = 6.4
c
c = 8.1
d
c = 4.7
e
c = 9
f
c = 7.2
4
Approximate the value of 'c' in this equation
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 6\\b = 6\\c = ?
a
c = 11
b
c = 4.3
c
c = 11.8
d
c = 6.8
e
c = 8.5
f
c = 6
5
Approximate the value of 'c' in this equation
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 5\\b = 3\\c = ?
a
c = 5.8
b
c = 4
c
c = 8.4
d
c = 9.2
e
c = 4.2
f
c = 2.5
6
Approximate the value of 'c' in this equation
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 4\\b = 2\\c = ?
a
c = 8
b
c = 5.3
c
c = 6
d
c = 1.1
e
c = 4.5
f
c = 3.5
7
Approximate the value of 'c' in this equation
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 5\\b = 5\\c = ?
a
c = 2.9
b
c = 3.7
c
c = 6.2
d
c = 10.4
e
c = 1
f
c = 7.1