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erastova [34]
2 years ago
5

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

Mathematics
1 answer:
kari74 [83]2 years ago
4 0

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 :

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

2l^2=576 cm

l^2=\frac{576}{2} cm^2

l=\sqrt{\frac{576}{2} cm^2}=16,97 cm \approx 17 cm

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

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