perplexus.info :: Shapes : Nine points in a square crossed triangle area puzzle

Nine points in a square crossed triangle area puzzle (Posted on 2023-02-13)

Nine points are given in a square having unit area.

Is it always possible to choose three of these points as the vertices of a triangle, such that the area of the triangle is at most 1/8?

Provide valid reasoning for your answer.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: solution via pigeon hole principle

| Comment 2 of 3 |

hi

Posted by Lopez on 2023-02-22 00:18:34

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info