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), D = (2.154,2.872), E = (8.205, 6.153); | pair B = (0,0), A = (6,8), C = (12,0), D = (2.154,2.872), E = (8.205, 6.153); | ||
+ | pair[] dotted = {A,B,C,D,E; | ||
+ | |||
D(A--B); | D(A--B); | ||
D(C--B); | D(C--B); |
Revision as of 17:53, 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
import cse5; unitsize(10mm); pathpen=black; dotfactor=3; pair B = (0,0), A = (6,8), C = (12,0), D = (2.154,2.872), E = (8.205, 6.153); pair[] dotted = {A,B,C,D,E; D(A--B); D(C--B); D(A--C); dot(dotted); label("$A$",A,N); label("$B$",B,SW); label("$C$",C,SE); label("$D$",D,NW); label("$E$",E,NE); (Error making remote request. Unknown error_msg)