Let $ABCD$ be a quadrilateral $AB = BC = CD = DA$. Let $MN$ and $PQ$ be two segments
perpendicular to the diagonal $BD$ and such that the distance between them is $d > BD/2$,
with $M \in AD$, $N \in DC$, $P \in AB$ and $Q \in BC$. Show that the perimeter of hexagon
$AMNCQP$ does not depend on the position of $MN$ and $PQ$ so long as the distance between
them remains constant.
APMO 1996 - Problem 1
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Re: APMO 1996 - Problem 1
Here's how I did it ::
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes