Pythagorean Equation from Values - Either Missing Length (Integer)

Level 2

This topic covers problems based on the Pythagorean theorem, specifically focusing on solving equations to find missing lengths within right triangles. Skills practiced include isolating a variable, manipulating squared values, and performing square root operations to determine the lengths of sides of triangles expressed as integers. The exercises require applying foundational concepts of the Pythagorean theorem to set up and solve equations where one side of the triangle is unknown. The topic also emphasizes integer computation, providing students with practical applications of square roots in geometric contexts.

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

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Values - Either Missing Length (Integer)

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


Find the value of 'a' in this equation

a2+25=169a^2 + 25 = 169

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

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Math worksheet on 'Pythagorean Equation from Values - 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 'b' in this equation
A LaTex expression showing 144 + b to the power of 2 = 225
a
b = 13
b
b = 8
c
b = 15
d
b = 11
e
b = 9
f
b = 5
2
Find the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 64 = 100
a
a = 10
b
a = 80
c
a = 6
d
a = 8
e
a = 7
f
a = 5
3
Find the value of 'b' in this equation
A LaTex expression showing 81 + b to the power of 2 = 225
a
b = 7
b
b = 13
c
b = 24
d
b = 6
e
b = 11
f
b = 12
4
Find the value of 'b' in this equation
A LaTex expression showing 144 + b to the power of 2 = 400
a
b = 16
b
b = 32
c
b = 18
d
b = 20
e
b = 10
f
b = 11
5
Find the value of 'c' in this equation
A LaTex expression showing 144 + 81 = c to the power of 2
a
c = 12
b
c = 14
c
c = 15
d
c = 8
e
c = 21
f
c = 13
6
Find the value of 'c' in this equation
A LaTex expression showing 36 + 64 = c to the power of 2
a
c = 10
b
c = 11
c
c = 5
d
c = 13
e
c = 6
f
c = 7
7
Find the value of 'c' in this equation
A LaTex expression showing 64 + 36 = c to the power of 2
a
c = 12
b
c = 13
c
c = 10
d
c = 14
e
c = 11
f
c = 7