A blog for enthusiastic math-lovers!

Triangle Problem

My math teacher showed me this interesting problem. It may seem simple at first but see if you can find a generalization to it.

How many triangles with integer side lengths have perimeter 10?

Alright, this problem isn’t too difficult. But what if we wanted to see how many triangles with integer side lengths have perimeter x for any x? Is there a nice way to generalize this such that the answer is of the form f(x) for some function f? Is there a way to prove that this generalization is true for any integer x?

Advertisements

Leave a Reply

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

WordPress.com Logo

You are commenting using your WordPress.com 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 )

Google+ photo

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

Connecting to %s

Tag Cloud

%d bloggers like this: