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]