Answer:
The side length of the smallest square plate will be 28.28 cm.
Step-by-step explanation:
The length of the chopstick = 40 cm
If chopstick is placed diagonally in a square plate, we can assume that it forms a right angle triangle with two sides of the square.
So, lets say the side of the square is x
Then according to Pythagoras theorem, we can conclude:
[tex]x^{2} +x^{2} =40^{2}[/tex]
=> [tex]2x^{2} =1600[/tex]
=> [tex]x^{2} =\frac{1600}{2}[/tex]
=> [tex]x^{2} =800[/tex]
=> [tex]x=\sqrt{2\times2\times2\times10\times10}[/tex]
=> [tex]x=20\sqrt{2}[/tex]
x = [tex]20\times1.414=28.28[/tex]
So, the side length of the smallest square plate will be 28.28 cm.
