Pythagorean Equation from Squares - Either Missing Length (Integer)

Level 1

This math topic focuses on the application of the Pythagorean theorem, specifically on solving for the missing side of a right triangle given the lengths of the other two sides, all of which are integers. The exercises involve calculating the square of either the hypotenuse or one of the legs by manipulating the classic Pythagorean equation \(a^2 + b^2 = c^2\). This foundational topic in geometry enhances students' problem-solving skills and understanding of right triangle relationships. The problems progress in difficulty and provide multiple-choice answers to reinforce learning and assess understanding.

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

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Squares - Either Missing Length (Integer)

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Find the value of 'b' in this equation

52+b2=1325^2 + b^2 = 13^2

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

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Math worksheet on 'Pythagorean Equation from Squares - 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 8 to the power of 2 + 6 to the power of 2 = c to the power of 2
a
c = 14
b
c = 11
c
c = 10
d
c = 6
e
c = 9
f
c = 7
2
Find the value of 'b' in this equation
A LaTex expression showing 4 to the power of 2 + b to the power of 2 = 5 to the power of 2
a
b = 1
b
b = 4
c
b = 9
d
b = 2
e
b = 3
f
b = 5
3
Find the value of 'b' in this equation
A LaTex expression showing 8 to the power of 2 + b to the power of 2 = 10 to the power of 2
a
b = 10
b
b = 7
c
b = 5
d
b = 3
e
b = 4
f
b = 6
4
Find the value of 'c' in this equation
A LaTex expression showing 12 to the power of 2 + 5 to the power of 2 = c to the power of 2
a
c = 60
b
c = 14
c
c = 13
d
c = 16
e
c = 11
f
c = 12
5
Find the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 12 to the power of 2 = 13 to the power of 2
a
a = 25
b
a = 5
c
a = 7
d
a = 156
e
a = 1
f
a = 13
6
Find the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 4 to the power of 2 = 5 to the power of 2
a
a = 9
b
a = 5
c
a = 20
d
a = 3
e
a = 2
f
a = 4
7
Find the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 5 to the power of 2 = 13 to the power of 2
a
a = 14
b
a = 18
c
a = 12
d
a = 11
e
a = 8
f
a = 13