This topic focuses on solving the Pythagorean theorem equations for missing side lengths in right triangles. Each problem provides a different equation where one side length (either 'a,' 'b,' or 'c,' where 'c' is the hypotenuse) is unknown, and students must determine its integer value. The length of the sides are squared in the equations, which aligns with the Pythagorean theorem's formula, \( a^2 + b^2 = c^2 \). The topic aims to improve students' ability to manipulate algebraic equations and reinforce their understanding of basic geometric principles involving right triangles.

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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 2)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/
1
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 = 65
b
a = 12
c
a = 8
d
a = 17
e
a = 18
f
a = 16
2
Find the value of 'b' in this equation
A LaTex expression showing 9 to the power of 2 + b to the power of 2 = 15 to the power of 2
a
b = 15
b
b = 24
c
b = 12
d
b = 17
e
b = 14
f
b = 10
3
Find the value of 'b' in this equation
A LaTex expression showing 12 to the power of 2 + b to the power of 2 = 20 to the power of 2
a
b = 15
b
b = 11
c
b = 20
d
b = 10
e
b = 16
f
b = 18
4
Find the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 12 to the power of 2 = 15 to the power of 2
a
a = 5
b
a = 13
c
a = 7
d
a = 8
e
a = 11
f
a = 9
5
Find the value of 'c' in this equation
A LaTex expression showing 16 to the power of 2 + 12 to the power of 2 = c to the power of 2
a
c = 16
b
c = 23
c
c = 20
d
c = 192
e
c = 19
f
c = 17
6
Find the value of 'c' in this equation
A LaTex expression showing 12 to the power of 2 + 9 to the power of 2 = c to the power of 2
a
c = 8
b
c = 21
c
c = 18
d
c = 14
e
c = 15
f
c = 11
7
Find the value of 'b' in this equation
A LaTex expression showing 6 to the power of 2 + b to the power of 2 = 10 to the power of 2
a
b = 9
b
b = 10
c
b = 8
d
b = 60
e
b = 4
f
b = 11