Difference between revisions of "2018 AIME I Problems/Problem 4"
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==Solution 1== | ==Solution 1== | ||
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+ | [asy] | ||
+ | syimport cse5; | ||
unitsize(10mm); | unitsize(10mm); | ||
pathpen=black; | pathpen=black; | ||
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pair B = (0,0), pair A = (6,8), pair C = (12,0) | pair B = (0,0), pair A = (6,8), pair C = (12,0) | ||
− | + | [/asy] | |
+ | </center> |
Revision as of 18:44, 7 March 2018
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]