Island Triangles

Consider the island of Great Britain.  Imagine choosing 3 points on the coast, and connecting those points to make a triangle. I think there would be an infinite number of possible triangles.  Would that still be the case if we added the condition that the sides of the triangle may not cross the coastline?

And is it possible to create even one equilateral triangle that doesn’t cross the coastline?

I have no clue how to approach as a general case.


Posted on October 31, 2011, in Math and tagged . Bookmark the permalink. Leave a comment.

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )


Connecting to %s

%d bloggers like this: