A) 14 cm
B) 15 cm
C) 16cm
D) 18 cm
Correct Answer: A
Solution :
From \[\Delta \,OAB\]and \[\Delta \,ODC\] \[\angle AOB=\angle DOC\] (opposite angles) \[\angle DAB=\angle ADC\] (alternate angles) and \[\angle CBA=\angle DCB\] (alternate angles) \[\therefore \] \[\Delta \,\,OAB\]and \[\Delta \,\,ODC\] are similar. \[\therefore \] \[\frac{OD}{OA}=\frac{CD}{AB}\] or \[OD=\frac{OA\times CD}{AB}\] \[=\frac{16\times 7}{8}=14\]You need to login to perform this action.
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