In the given figure, ∆ABC has points D and F in AC andpoint E in BC such that DE ∥ AB and EF ∥ BD. If CF = 4 cmand AC = 9 cm, what is the length of DC?
Question
Solution 1
The problem involves similar triangles and the concept of proportionality.
Since DE is parallel to AB, triangle ADE is similar to triangle ABC (by the AA criterion).
Similarly, since EF is parallel to BD, triangle BCF is similar to triangle BDA.
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