A) 8.89 cm
B) 17.78 cm
C) 18.18 cm
D) 9.00 cm
E) None of these
Correct Answer: B
Solution :
Explanation Option (b) is correct. Let AC = 2x cm Then AO = x In \[\Delta ABD,\,\,AO\]is median \[\therefore \,\,2\{{{(AO)}^{2}}+{{(DO)}^{2}}\}=A{{B}^{2}}+A{{D}^{2}}\] \[\therefore \,\,2({{x}^{2}}+{{5}^{2}})=144+64=208\] \[\therefore \,\,\,\,\,\,\,\,{{x}^{2}}=79\Rightarrow x=8.89\] \[\therefore \,AC=2\times 8.89=17.78\,\,cm\]You need to login to perform this action.
You will be redirected in
3 sec