Mathematics

If $$AD=2.5\ cm,BD=3.0\ cm$$ and $$AE=3.75\ cm$$, find the length of $$AC$$.


SOLUTION
$$\begin{array}{l} If\, \, DE\parallel BC \\ then, \\ \Rightarrow \frac { { AD } }{ { AB } } =\frac { { AE } }{ { AC } }  \\ \Rightarrow \frac { { 2.5 } }{ { \left( { 2.5+3 } \right)  } } =\frac { { 3.75 } }{ { AC } }  \\ \Rightarrow AC=\frac { { 3.75\times 5.5 } }{ { 2.5 } } =8.25cm \end{array}$$
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