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What is the side length of the smallest square plate on which a 30 cm chopstick can fit along a diagonal without any​ overhang? The approximate side length of the square plate is black cm.

Respuesta :

Answer: 21.21 cm

Step-by-step explanation:

Given

length of diagonal on the square is 30 cm

Suppose a is the side length of the square

and length of diagonal is given as [tex]a\sqrt{2}\ units[/tex]

So,

[tex]\Rightarrow a\sqrt{2}=30\\\\\Rightarrow a=\frac{30}{\sqrt{2}}=21.21\ cm[/tex]

Thus, the side length of the square is 21.21 cm

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