Answer:
17 cm is the side length of the smallest square plate.
Step-by-step explanation:
Length of the square = l
Length of the diagonal = d
Length of chopstick = s = 24 cm
If chopstick is to be fitted along a diagonal . then length of the diagonal will be:
d = s = 24 cm
Applying Pythagoras Theorem :
[tex]l^2+l^2=(24 cm)^2[/tex]
[tex]2l^2=576 cm[/tex]
[tex]l^2=\frac{576}{2} cm^2[/tex]
[tex]l=\sqrt{\frac{576}{2} cm^2}=16,97 cm \approx 17 cm[/tex]
17 cm is the side length of the smallest square plate.
