Difference between revisions of "1989 AHSME Problems/Problem 7"
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Revision as of 13:47, 5 July 2013
Problem
In ,
,
,
,
is an altitude, and
is a median. Then
Solution
We are told that is a median, so
. Drop an altitude from
to
, adding point
, and you can see that
and
are similar, implying
, implying that
and
are similar, so
.
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.