This math topic focuses on applying the Pythagorean theorem to calculate the length of missing sides in right-angled triangles, where dimensions are given in scaled values. Each problem presents a triangle with specific side lengths and requires finding the length of an unknown side, with answers listed in decimal format. This set of exercises is intended to develop and test a student's ability to work with Pythagorean triples and understand the relationship between the sides of right-angled triangles in various scaled scenarios.

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

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Pythagorean Triples (Scaled) - Length of Side Worksheet

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Pythagorean Triples (Scaled) - Length of Side
1
Find the length of the missing side as a decimal value based on the Pythagorean theorem
An svg image showing a math problem
a
1,800
b
2,000
c
1,300
d
1,600
e
3,200
f
1,000
2
Find the length of the missing side as a decimal value based on the Pythagorean theorem
An svg image showing a math problem
a
1,350
b
120
c
60
d
150
e
130
f
110
3
Find the length of the missing side as a decimal value based on the Pythagorean theorem
An svg image showing a math problem
a
6,500
b
800
c
1,400
d
1,200
e
700
f
1,300
4
Find the length of the missing side as a decimal value based on the Pythagorean theorem
An svg image showing a math problem
a
13,500
b
600
c
900
d
800
e
1,200
f
1,300
5
Find the length of the missing side as a decimal value based on the Pythagorean theorem
An svg image showing a math problem
a
1,500
b
1,200
c
1,100
d
1,000
e
1,600
f
600
6
Find the length of the missing side as a decimal value based on the Pythagorean theorem
An svg image showing a math problem
a
100
b
2,400
c
130
d
160
e
190
f
110
7
Find the length of the missing side as a decimal value based on the Pythagorean theorem
An svg image showing a math problem
a
180
b
100
c
160
d
200
e
3,750
f
120
8
Find the length of the missing side as a decimal value based on the Pythagorean theorem
An svg image showing a math problem
a
150
b
200
c
240
d
280
e
250
f
260