\( D \) 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 \( \triangle A B C \). In each of the following cases, determine whether \( D E \| B C \) or not.
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(i) \( A D=5.7 \mathrm{~cm}, D B=9.5 \mathrm{~cm}, A E=4.8 \mathrm{~cm} \) and \( E C=8 \mathrm{~cm} \)
(ii) \( A B=11.7 \mathrm{~cm}, A C=11.2 \mathrm{~cm}, B D=6.5 \mathrm{~cm} \) and \( A E=4.2 \mathrm{~cm} \).
(iii) \( A B=10.8 \mathrm{~cm}, A D=6.3 \mathrm{~cm}, A C=9.6 \mathrm{~cm} \) and
W \( E C=4 \mathrm{~cm} \).
(iv) \( A D=7.2 \mathrm{~cm}, A E=6.4 \mathrm{~cm}, A B=12 \mathrm{~cm} \) and \( A C=10 \mathrm{~cm} \).
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