Pythagorean Theorem

Length of Side - Labelled Sides (Decimal) (Level 1)

This math topic focuses on applying the Pythagorean Theorem to calculate the length of missing sides of right triangles in decimal form. The problems require students to identify and solve for missing sides (labeled as a, b, or c) using the formula \( a^2 + b^2 = c^2 \), where \( c \) typically represents the hypotenuse. Each question provides different configurations of right triangles, pushing students to practice and reinforce their skills in handling square roots and squares of decimal numbers within the context of geometry.

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

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Pythagorean Theorem - Length of Side - Labelled Sides (Decimal) Worksheet

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Pythagorean Theorem - Length of Side - Labelled Sides (Decimal)
1
Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a
b=6.17
b
b=7.33
c
b=12.17
d
b=40
e
b=9.17
f
b=8.17
2
Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a
b=5.09
b
b=7.49
c
b=4.24
d
b=77
e
b=8.49
f
b=10.68
3
Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a
b=8
b
b=1
c
b=2.08
d
b=3.46
e
b=6.46
f
b=3.12
4
Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a
b=4
b
b=11
c
b=6
d
b=60
e
b=8
f
b=12
5
Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a
b=8.49
b
b=10.49
c
b=12.49
d
b=4.49
e
b=10.68
f
b=77
6
Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a
b=5.66
b
b=63
c
b=5.09
d
b=6.22
e
b=2.83
f
b=3.66
7
Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a
b=7.87
b
b=3.87
c
b=4.65
d
b=10.07
e
b=7.75
f
b=6.97
8
Find the length of the missing side as a decimal value based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a
b=4.45
b
b=7.42
c
b=10.42
d
b=5.42
e
b=3.71
f
b=8.42