Difference between revisions of "2018 AIME I Problems/Problem 4"
Bluebacon008 (talk | contribs) (→Solution 1) |
Bluebacon008 (talk | contribs) (→Solution 1) |
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Line 10: | Line 10: | ||
dotfactor=3; | dotfactor=3; | ||
− | pair B = (0,0), A = (6,8), C = (12,0); | + | pair B = (0,0), A = (6,8), C = (12,0), D = (2.154,2.872), E = (8.205, 6.153); |
D(A--B); | D(A--B); | ||
D(C--B); | D(C--B); | ||
Line 19: | Line 19: | ||
label("$B$",B,SW); | label("$B$",B,SW); | ||
label("$C$",C,SE); | label("$C$",C,SE); | ||
− | + | label("$D$",D,NW); | |
+ | label("$E$",E,NE); | ||
</asy> | </asy> | ||
</center> | </center> |
Revision as of 18:53, 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