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08-04-2021
Mathematics

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Find the length of a diagonal of a square with a perimeter of 16.

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JennyTheBest813 JennyTheBest813

08-04-2021

Answer:

4√2

Step-by-step explanation:

If a square has a perimeter of 16, then its side lengths are 4.

Use the pythagorean theorem to find the diagonal.

4^2+4^2=c^2
16+16=c^2
32=c^2
c=√32

√32 can be simplified to 4√2.

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