Difference between revisions of "2018 AIME I Problems/Problem 4"
Bluebacon008 (talk | contribs) (→Solution 1) |
Bluebacon008 (talk | contribs) (→Solution 1) |
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pair B = (0,0), A = (6,8), C = (12,0); | pair B = (0,0), A = (6,8), C = (12,0); | ||
+ | D(A--B); | ||
+ | D(C--B); | ||
+ | D(A--C); | ||
+ | dot(dotted); | ||
label("<math>A</math>",A,SW); | label("<math>A</math>",A,SW); | ||
label("<math>B</math>",B,S); | label("<math>B</math>",B,S); |
Revision as of 17:48, 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), A = (6,8), C = (12,0); D(A--B); D(C--B); D(A--C);
dot(dotted);
label("",A,SW);
label("
",B,S);
label("
",C,SE);
[/asy]