question_answer

Two transversals S and T cut a set of distinct parallel lines. S cuts the parallel lines in points A, B, C, D and T cuts the parallel lines in points E, F, G and H, respectively. If AB = 4, CD = 3 and EF = 12, then what is the length of GH?

A) 4                                 

B) 6     

C) 8                                 

D) 9

Correct Answer: D

Solution :

From figure,

Let GH = x

By proportionality law, \[\frac{AB}{CD}=\frac{EF}{GH}\]\[\Rightarrow \]\[\frac{4}{3}=\frac{12}{x}\]

\[\Rightarrow \]               \[x=3\times 3=9\]