A) \[\frac{\sqrt{34}}{2}\]
B) \[\frac{3}{2}\sqrt{34}\]
C) \[\frac{2}{3}\sqrt{34}\]
D) \[\frac{\sqrt{34}}{3}\]
Correct Answer: C
Solution :
[c] \[AB=6,\,\,BC=\sqrt{13,}\,\,CA=3\] \[\therefore AB:AC=2:1\] Internal bisector of an angle divides the opposite side in the ratio of adjacent sides \[\therefore \frac{BD}{CD}=\frac{AB}{AC}=\frac{2}{1}\] \[\therefore \] Coordinate of D are \[\left( 2,\frac{13}{3},6 \right)\] \[\therefore \] Length \[AD=\frac{2}{3}\sqrt{34}\]You need to login to perform this action.
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