This math topic provides practice on applying the Pythagorean Theorem to find the length of a side in a right triangle. Specifically, students are asked to solve for unknown sides ('a' or 'b') where all side lengths are integers. Each exercise involves solving an equation of the form \( a^2 + b^2 = c^2 \) to find the missing side, with six questions focusing on this application. This helps solidify the foundational principles of the Pythagorean Theorem and strengthens skills in solving algebraic equations in a geometric context.

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Pythagorean Equation from Squares - Length of Side (Integer) Worksheet

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Math worksheet on 'Pythagorean Equation from Squares - Length of Side (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 '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 = 9
b
b = 6
c
b = 4
d
b = 80
e
b = 7
f
b = 5
2
Find the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 6 to the power of 2 = 10 to the power of 2
a
a = 16
b
a = 8
c
a = 12
d
a = 5
e
a = 4
f
a = 11
3
Find the value of 'b' in this equation
A LaTex expression showing 16 to the power of 2 + b to the power of 2 = 20 to the power of 2
a
b = 11
b
b = 12
c
b = 20
d
b = 7
e
b = 36
f
b = 10
4
Find the value of 'b' in this equation
A LaTex expression showing 12 to the power of 2 + b to the power of 2 = 15 to the power of 2
a
b = 10
b
b = 15
c
b = 9
d
b = 6
e
b = 11
f
b = 27
5
Find the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 8 to the power of 2 = 10 to the power of 2
a
a = 3
b
a = 10
c
a = 18
d
a = 4
e
a = 5
f
a = 6
6
Find the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 12 to the power of 2 = 20 to the power of 2
a
a = 8
b
a = 19
c
a = 17
d
a = 13
e
a = 20
f
a = 16
7
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 = 14
b
b = 11
c
b = 18
d
b = 10
e
b = 8
f
b = 16