A) 7 cm
B) 8 cm
C) 9 cm
D) 6 cm
Correct Answer: B
Solution :
[b] In \[\Delta AOB\] and \[\Delta COD,\] we have |
\[\angle AOB=\angle COD\] (Vertically opposite angles) |
\[\frac{AO}{OC}=\frac{OB}{OD}=\frac{1}{2}\] (Given) |
\[\therefore \,\Delta AOB\tilde{\ }\Delta COD\](By SAS similarity criterion) |
\[\therefore \,\,\,\,\,\,\,\,\,\,\,\frac{AB}{CD}=\frac{AO}{OC}\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\frac{4}{CD}=\frac{1}{2}\,\,\,\,\,\,\,\Rightarrow \,\,\,CD=8cm.\] |
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