\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The lines \(\Line{GH}\) and \(\Line{EI}\) intersect at \(F\), and the lines \(\Line{GE}\) and \(\Line{HI}\) are parallel. Given \(FG=3.5\) cm, \(FE=4.2\) cm, \(EG=1.5\) cm, and \(HI=8.5\) cm:
Calculate the lengths \(FI\) and \(FH\). Justify.
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