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6. The length of one side of a square is 13 feet. What is the length, to thenearest foot, of a diagonal of the square? (2 points: 1 point for correctanswer, 1 point for showing your work) *Your answer

6. The length of one side of a square is 13 feet. What is the length, to thenearest-example-1
User Udi Reshef
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1 Answer

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21 votes

For this exercise you can use the formula for calculate the length of the diagonal of a square. This is:


d=s\sqrt[]{2}

Where "d" is the diagonal of the square and "s" is the length of any side of the square.

According to the information given in the exercise, the value of "s" is:


s=13ft

Then you can substitute this value into the formula and then evaluate, in order to find the length of the diagonal:


\begin{gathered} d=(13ft)(\sqrt[]{2}) \\ d=13\sqrt[]{2}ft \\ d\approx18.38ft \end{gathered}

You can notice that the first digit after the Decimal point is 3. Since this numbers is

User Luisfer
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