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, \[\frac{AB}{CD}=\frac{EF}{GH}\]\[\Rightarrow \]\[\frac{4}{3}=\frac{12}{x}\] |
\[\Rightarrow \] \[x=3\times 3=9\] |
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