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=5b=6c=?a^2 + b^2 = c^2\\a = 5\\b = 6\\c = ?

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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 'Pythagorean Theorem with Decimals - Intro' Learn online: app.mobius.academy/math/units/pythagoras_decimals_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 = 5\\b = 4\\c = ?
a
c = 6.4
b
c = 2.2
c
c = 5.6
d
c = 7.2
e
c = 4.7
f
c = 3
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 = 3\\c = ?
a
c = 4.4
b
c = 3.6
c
c = 5.3
d
c = 2.2
e
c = 1
f
c = 6
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 = 2\\b = 4\\c = ?
a
c = 3.5
b
c = 6.2
c
c = 7.8
d
c = 2.8
e
c = 5.3
f
c = 4.5
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 = 4\\b = 6\\c = ?
a
c = 3.9
b
c = 6.4
c
c = 5.5
d
c = 10
e
c = 7.2
f
c = 4.7
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 = 5\\c = ?
a
c = 7.1
b
c = 10
c
c = 4.6
d
c = 2.9
e
c = 6.2
f
c = 25
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 = 5\\b = 2\\c = ?
a
c = 1.2
b
c = 8.7
c
c = 5.4
d
c = 6.2
e
c = 7.9
f
c = 4.6
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 = 6\\b = 2\\c = ?
a
c = 9.7
b
c = 2.1
c
c = 7.2
d
c = 4.6
e
c = 6.3
f
c = 8