Advanced Geometric Problem & Solution (Twice a week update) Now 4747 problems posted.
<Tri-2026-2291>, hint
<ABK=<ACL=<ACK=X
PA/PB=( area of PCA)/(area of PCB)=sinPCA/sinPCB=sinX/sin( 60-X)
Similarly QA/QB=sinX/sin(60+X)
QA/PA=CQ sinX/CP sinX=sin(120-X)/sin(60-X)=sin(60+X)/sin(60-X)
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