A) 17 cm
B) 15 cm
C) 16 cm
D) 18 cm
Correct Answer: A
Solution :
From O draw\[OL\bot AB\] and\[OM\bot CD\] Join OA and OC. \[AL=\frac{1}{2}AB=5\,\,cm,\,\,OA\,=\,13\,\,cm\] \[O{{L}^{2}}=O{{A}^{2}}-A{{L}^{2}}\] \[={{(13)}^{2}}-{{5}^{2}}=169-25=144\] \[\Rightarrow \]\[OL=\sqrt{144}=12\,\,\,cm\] Now, and OC=13 cm \[\therefore \]\[O{{M}^{2}}=O{{C}^{2}}-C{{M}^{2}}={{(13)}^{2}}-{{(12)}^{2}}\] \[=169-144=25\Rightarrow OM=\sqrt{25}=5\,\,cm\] ML = OM + OL = (5 +12) cm= 17 cm
You need to login to perform this action.
You will be redirected in
3 sec
