This topic focuses on practicing the application of the Pythagorean theorem within square geometries, specifically determining the length of the sides of a square given the length of a diagonal to the center of the square in decimal values. Each problem provides a different diagonal length and requires the calculation of the respective side lengths using the properties of the Pythagorean theorem. This allows learners to enhance their skills in handling geometric problems involving right triangles and squares, along with practicing decimal arithmetic.

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

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Pythagoras in Squares - Center Hypotenuse to Side Decimal Worksheet

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Pythagoras in Squares - Center Hypotenuse to Side Decimal
1
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Find the length of the square sides, given a diagonal to the center of length 7
a
9.9
b
12.87
2
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Find the length of the square sides, given a diagonal to the center of length 10
a
14.14
b
8.49
3
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Find the length of the square sides, given a diagonal to the center of length 14
a
15.84
b
19.8
4
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Find the length of the square sides, given a diagonal to the center of length 15
a
21.21
b
19.09
5
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Find the length of the square sides, given a diagonal to the center of length 8
a
11.31
b
14.71
6
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Find the length of the square sides, given a diagonal to the center of length 13
a
11.03
b
18.38
7
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Find the length of the square sides, given a diagonal to the center of length 12
a
22.06
b
16.97
8
An svg image showing a math problem
Find the length of the square sides, given a diagonal to the center of length 11
a
15.56
b
14