Talk:2009 AMC 10B Problems/Problem 12
In the solution, it says that the area of a triangle will be uniquely determined by the base length, since the height is determined. However, I was wondering how do we know that the height is determined. The problem never specifically says that the line containing points 
and 
was a set distance away from the line containing the points 
, 
, 
, 
. Can't we have the lines 
units apart, and have a triangle with a base of 
, and a height of 
.
Please let me know what I am missing. Thanks!
