+0

# Geometry. All help appreciated. and upvoted if hard work and accurate.

+10
102
2
+1155

Triangle $$ABC$$ has a perimeter of 2007 units. The sides have lengths that are all integer values with $$AB< BC \leq AC$$. What is the smallest possible value of $$BC - AB$$?

Jul 5, 2022

#1
+2448
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The triangle could be 668, 669, 670, in which case the difference is $$\color{brown}\boxed{1}$$

Jul 5, 2022
#2
+1155
+8

thx and nicely done.

nerdiest  Jul 5, 2022