2018 AIME I Problems/Problem 4
Problem 4
In and
. Point
lies strictly between
and
on
and point
lies strictly between
and
on
) so that
. Then
can be expressed in the form
, where
and
are relatively prime positive integers. Find
.
Solution 1
[asy] syimport cse5; unitsize(10mm); pathpen=black; dotfactor=3;
pair B = (0,0), pair A = (6,8), pair C = (12,0)
[/asy]