Answered

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Find the length of a diagonal ofa square with sides of 10inches long.[?]V ] inches

Find The Length Of A Diagonal Ofa Square With Sides Of 10inches LongV Inches class=

Sagot :

the Given:

The side of the square is a = 10 inches.

Explanation:

The length of the diagonal of the square is determined by Pythagoras theorem.

[tex]\begin{gathered} d=\sqrt[]{a^2+a^2} \\ =\sqrt[]{2a^2} \\ =\sqrt[]{2}a \end{gathered}[/tex]

Substitute 10 for a in the equation to determine the length of the diagonal of the square.

[tex]\begin{gathered} d=\sqrt[]{2}\cdot10 \\ =10\sqrt[]{2} \end{gathered}[/tex]

So the answer is,

[tex]10\sqrt[]{2}[/tex]

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