Wednesday, December 1, 2010

Fox 321

2 comments:

  1. Let x=BP
    RPQ=180-(90-B)-(90-C)=B+C=180-A
    PR=x.sin(B); PQ=(BC-x).sin(C)
    Then
    A(PQR)=PQ*PR*sin(RPQ)/2=
    x*(BC-x)*sin(A)*sin(B)*sin(C)/2
    Maximum occurs when x=BC/2 and
    maxium(A(PQR))=BC^2*sin(A)*sin(B)*sin(C)/8

    César Lozada
    Venezuela

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