MathDB

3

Part of 2007 Argentina National Olympiad

Problems(1)

Find ratio

Source: Argentina MO 2007 problem 3

7/22/2008
Let ABCD ABCD be a parellogram with AB>AD AB>AD. Suposse the ratio between diagonals AC AC and BD BD is \frac {AC} {BD}\equal{}3. Let r r be the line symmetric to AD AD with respect to AC AC and s s the line symmetric to BC BC with respect to BD BD. If r r and s s intersect at P P , find the ratio PAPB \frac {PA} {PB} Daniel
ratioinequalitiestrigonometrygeometry unsolvedgeometry