Question 840467
A picture is really worth a thousand words


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/untitled5_zpsedca2c1b.png">


So we can see that an equilateral triangle with side lengths of 3 can hold exactly <font color="red">nine</font> equilateral triangles that all have 1 inch sides.