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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)

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


Approximate the value of 'c' in this equation

a2+b2=c2a=3b=4c=?a^2 + b^2 = c^2\\a = 3\\b = 4\\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 = 5\\b = 3\\c = ?
a
c = 5.8
b
c = 8.4
c
c = 4
d
c = 9.2
e
c = 2.5
f
c = 4.2
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 = 3\\b = 3\\c = ?
a
c = 7.6
b
c = 4.2
c
c = 5.1
d
c = 6
e
c = 1.7
f
c = 1
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 = 5\\b = 5\\c = ?
a
c = 3.7
b
c = 2.9
c
c = 7.1
d
c = 1
e
c = 6.2
f
c = 10.4
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 = 2\\b = 5\\c = ?
a
c = 2.9
b
c = 1.2
c
c = 8.7
d
c = 4.6
e
c = 5.4
f
c = 10
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 = 3\\b = 4\\c = ?
a
c = 12
b
c = 2.5
c
c = 4.2
d
c = 5.8
e
c = 5
f
c = 7
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 = 3\\b = 6\\c = ?
a
c = 4.2
b
c = 3.3
c
c = 6.7
d
c = 10.1
e
c = 2.5
f
c = 5.9
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 = 6\\c = ?
a
c = 3.6
b
c = 10.3
c
c = 5.3
d
c = 7.8
e
c = 11
f
c = 9.5