In a triangle ABC,if a=5, b=6, c=7,then the l | vedclass

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(A) In $	riangle ABC$,let $BD$ be the median drawn from vertex $B$ to side $AC$.Given sides are $a = BC = 5$,$b = AC = 6$,and $c = AB = 7$.The formul

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$2 \sqrt{7}$

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(A) In $	riangle ABC$,let $BD$ be the median drawn from vertex $B$ to side $AC$.Given sides are $a = BC = 5$,$b = AC = 6$,and $c = AB = 7$.The formula for the length of the median $m_b$ drawn from vertex $B$ is given by:$BD = \frac{1}{2} \sqrt{2a^2 + 2c^2 - b^2}$Substituting the given values:$BD = \frac{1}{2} \sqrt{2(5)^2 + 2(7)^2 - (6)^2}$$BD = \frac{1}{2} \sqrt{2(25) + 2(49) - 36}$$BD = \frac{1}{2} \sqrt{50 + 98 - 36}$$BD = \frac{1}{2} \sqrt{112}$$BD = \frac{1}{2} \sqrt{16 	imes 7}$$BD = \frac{1}{2} 	imes 4 \sqrt{7}$$BD = 2 \sqrt{7}$

In a $\triangle ABC$,if $a=5, b=6, c=7$,then the length of the median drawn from $B$ is

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