Asked in: July 2024 board paperIn 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 AB, CD, EF cut by two transversals; one transversal passes through A, C, E a…

Asked in: July 2024 board paper

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 AB, CD, EF cut by two transversals; one transversal passes through A, C, E and the other through B, D, F.]

Activity: AB || CD || EF \(\therefore \dfrac{AC}{\text{____}} = \dfrac{\text{____}}{DF}\) (property of three parallel lines and their transversals) \(\therefore \dfrac{12}{\text{____}} = \dfrac{\text{____}}{DF}\) \(\therefore DF = \dfrac{8 \times 9}{\text{____}}\) \(\therefore DF = \) ____