Question

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.

Answer 1

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 $a\sqrt{2}\ units$

So,

$\Rightarrow a\sqrt{2}=30\\\\\Rightarrow a=\frac{30}{\sqrt{2}}=21.21\ cm$

Thus, the side length of the square is 21.21 cm