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AP=AB+BP
BP=x
21/[7+x]=14/x
21x=14(7+x)
21x=98+14x
7x=98
x=14
AP=7+14=21cm
AD/DP=BC/CP
DP=DC+PC
21:(8+x)=14:x
21x=14(8+x)
21x=112+14x
7x=112
x=16
DP=16+8=24cm