This math topic focuses on applying the Pythagorean theorem to solve for missing lengths of a right triangle when given two sides. It specifically targets the ability to manipulate the Pythagorean equation \(a^2 + b^2 = c^2\) to find the unknown side, given the other sides as integers. The problems within this topic require learners to identify and compute the missing side labeled as 'a', 'b', or 'c', enhancing their skills in squaring numbers, taking square roots, and reformulating equations to isolate variables for solutions.

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

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Variables - Either Missing Length (Integer)

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


Find the value of 'c' in this equation

a2+b2=c2a=6b=8c=?a^2 + b^2 = c^2\\a = 6\\b = 8\\c = ?

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Pythagorean Equation from Variables - Either Missing Length (Integer) Worksheet

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Math worksheet on 'Pythagorean Equation from Variables - Either Missing Length (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 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 = 3
b
c = 4
c
c = 2
d
c = 7
e
c = 5
f
c = 8
2
Find the value of 'b' 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 = ?\\c = 13
a
b = 13
b
b = 10
c
b = 18
d
b = 8
e
b = 12
f
b = 65
3
Find the value of 'a' 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 = ?\\b = 12\\c = 13
a
a = 4
b
a = 5
c
a = 6
d
a = 156
e
a = 2
f
a = 25
4
Find the value of 'a' 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 = ?\\b = 8\\c = 10
a
a = 10
b
a = 80
c
a = 7
d
a = 6
e
a = 3
f
a = 1
5
Find 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 = 12\\c = ?
a
c = 11
b
c = 9
c
c = 14
d
c = 12
e
c = 17
f
c = 13
6
Find the value of 'b' 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 = ?\\c = 5
a
b = 8
b
b = 5
c
b = 4
d
b = 6
e
b = 3
f
b = 1
7
Find the value of 'b' 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 = 12\\b = ?\\c = 13
a
b = 156
b
b = 7
c
b = 3
d
b = 5
e
b = 25
f
b = 6