A) \[4\sqrt{2}\]
B) \[5\sqrt{2}\]
C) \[\sqrt{34}\]
D) \[\sqrt{41}\]
Correct Answer: A
Solution :
(a): Using Pythagoras theorem, \[Q{{D}^{2}}+Q{{B}^{2}}=Q{{A}^{2}}+Q{{C}^{2}}\] \[\Rightarrow \] \[Q{{D}^{2}}+9=16+25\] \[\Rightarrow \] \[Q{{D}^{2}}=41-9=32\] \[\Rightarrow \] \[QD=\sqrt{32}=4\sqrt{2}\] cmYou need to login to perform this action.
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