Question

Ex. (3) In the figure AB | CD || EF. If AC = 5.4, CE =9, BD = 7.5 then find DF.​

Answer 1

Answer:

12.5

Step-by-step explanation:

AB||CD||EF

Therefore,AC/CE=BD/DF (BY Intercept Theorem)

5.4/9=7.5/DF

5.4×DF=7.5×9

DF=(7.5×9)/5.4

Therefore,DF=12.5

Answer 2

Answer :-

DF = 12.5

Solution :-

Given that,

AB l| CD || EF

so,

According to, property of three parallel lines and their transversals.

=> $\frac{AC}{CE} =\frac{BD}{DF}$

=> $\frac{5.4}{9} =\frac{7.5}{DF}$

=> $DF=\frac{7.5 \ * \ 9}{5.4}$

=> $DF=12.5$

                                                         

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