A gardner throws 18 seeds onto an equilateral triangle shaped plot of side 1 meter. Then at least 2 seed are within distance of 25cm Statement is true or false?
1 Answer
Yes
Explanation:
Split the large triangle into
Each seed is inside or on the boundary of at least one of the smaller triangles.
So if
The distance between two seeds in or on the same triangle is at most
At least one of those corners is shared with an adjacent small triangle. So if any seeds associate with that adjacent triangle are at maximal distance
Continuing, we find that if we try to ensure the maximum distance of
There are only