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(c) In \( \Delta \mathrm { ABC } , \angle \mathrm { APQ } = \angle \mathrm { ACB } , \mathrm { AP } = 6 \mathrm { cm } , \mathrm { AQ } = 5 \mathrm { cm } \) and \( \mathrm { PB } = 4 \mathrm { cm } \)
(i) Prove that \( \Delta \mathrm { APQ } - \Delta \mathrm { ACB } \). (ii) Find the length of \( \mathrm { QC } \) (iii) Find the area of \( \Delta \mathrm { APQ }: \) area of \( \Delta \mathrm { ABC } \) (in) Find the area of \( \Delta \mathrm { APQ }: \) area of PBCQ
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