In the given figure, AB || CD || EF. If AC = 12, CE = 9, BD = 8, then complete the following activity to find DF.[Figure: three parallel lines with two transversals cutting them at A, C, E on one transversal and B, D, F on the other.]Activity : AB ||…
Q.3 (A)(1) In the given figure, AB || CD || EF. If AC = 12, CE = 9, BD = 8, then complete the following activity to find DF.
[Figure: three parallel lines with two transversals cutting them at A, C, E on one transversal and B, D, F on the other.]
Activity : AB || CD || EF
\(\therefore \dfrac{AC}{\text{____}} = \dfrac{\text{____}}{DF}\) ........... (Property of three parallel lines and their transversal)
\(\therefore \dfrac{12}{\text{____}} = \dfrac{\text{____}}{DF}\)
\(\therefore DF = \dfrac{8 \times 9}{\text{____}}\)
\(\therefore DF =\) ____