Question help (1 Viewer)

[NotBamboo]

question from test:

In a 5cm by 5cm square how many points are required to be drawn inside the square to guarantee there are 2 points less than √2cm apart? Justify your answer with appropriate calculations or reasoning.

Spoiler

Answer:

 

[cheesynooby]

I think it's supposed to be a pigeonhole principle question where you can't have >1 point(pigeon) per 1x1 square (pigeonholes)
but idk how to prove that you can have 1 point per square and still have them all be sqrt2 cm apart

 

[m_avi]

5

 

[cheesynooby]

18

 

[NotBamboo]

18

my first impression^

but the answer should be 26

 

[m_avi]

5

Bro you just reacted to this 5 different times like, my phones going crazy with notifs

 

[NotBamboo]

Bro you just reacted to this 5 different times like, my phones going crazy with notifs

SO THATS HOW UR ON 24/7 OOHHHHHHH

 

[m_avi]

SO THATS HOW UR ON 24/7 OOHHHHHHH

Noo I'm not normally on my phone after school. I'm just chilling cuz I'm bored lol