A) \[2\sqrt{21}\]
B) \[\frac{3}{2}\sqrt{21}\]
C) \[7\sqrt{3}\]
D) \[\frac{2}{3}\sqrt{21}\]
Correct Answer: D
Solution :
Median \[{{m}_{B}}=\frac{1}{2}\sqrt{2{{a}^{2}}+2{{c}^{2}}-{{b}^{2}}}\]= \[=\,\,\frac{1}{2}\sqrt{2(49)+2(25)-36}\,=\,\sqrt{28}\] \[\tan \,30{}^\circ \,=\,\frac{h}{BD}\,=\,\frac{1}{\sqrt{3}}\] \[\Rightarrow \,\,h=\,\frac{\sqrt{28}}{\sqrt{3}}\,=\,\frac{2\sqrt{21}}{3}\,cm\]You need to login to perform this action.
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