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A square has an area of 144 in^2. What is the length, to the nearest inch, of the diagonal?

User Dashman
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1 Answer

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The length of the diagonal is 17 in

Step-by-step explanation:

The area of the square =
144 \ in^2

The formula for area of the square is given by


A=a^(2)


144=a^(2)


12=a

The sides of the square are 12 inches.

The length of the diagonal of a square can be determined using the Pythagorean theorem.

Let d be the diagonal of the square.

Thus, we have,


$12^(2)+12^(2)=d^(2)$


144+144=d^(2)$


√(288) =d


16.97=d

Rounding off to the nearest inch, we get,


d=17 \ in

Thus, the length of the diagonal is 17 in

User Kurt Peek
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