Question

What is the side length of the smallest square plate on which a 24​-cm chopstick can fit along a diagonal without any​ overhang?

Answer 1

17 cm is the side length of the smallest square plate.

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 :

`l^2+l^2=(24 cm)^2`

`2l^2=576 cm`

`l^2=(576)/(2) cm^2`

`l=\sqrt{(576)/(2) cm^2}=16,97 cm \approx 17 cm`

17 cm is the side length of the smallest square plate.