\( D \) and \( E \) are points on the sides \( A B \) and \( A C \) respectively of a \( \triang...

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\( D \) and \( E \) are points on the sides \( A B \) and \( A C \) respectively of a \( \triangle A B C \) such that \( D E \| B C \).
(i) If \( A D=3.6 \mathrm{~cm}, A B=10 \mathrm{~cm} \) and \( A E=4.5 \mathrm{~cm} \), find \( E C \) and \( A C \).
(ii) If \( A B=13.3 \mathrm{~cm}, A C=11.9 \mathrm{~cm} \) and \( E C=5.1 \mathrm{~cm} \), find \( A D \).
(iii) If \( \frac{A D}{D B}=\frac{4}{7} \) and \( A C=6.6 \mathrm{~cm} \), find \( A E \).
(iv) If \( \frac{A D}{A B}=\frac{8}{15} \) and \( E C=3.5 \mathrm{~cm} \), find \( A E \).
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