UPSKILL MATH PLUS

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\(CD\) and \(GH\) are respectively the bisectors of \(\angle ACB\) and \(\angle EGF\) such that \(D\) and \(H\) lie on sides \(AB\) and \(FE\) of \(\Delta ABC\) and \(\Delta EFG\) respectively. If \(\Delta ABC \sim \Delta FEG\), show that:
 
(i) \(\frac{CD}{GH} = \frac{AC}{FG}\)
 
(ii) \(\Delta DCB \sim \Delta HGE\)
 
(iii) \(\Delta DCA \sim \Delta HGF\)
 
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This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.