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In the figure, if AC = 13cm, then the length of the median BD =

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6.5 cm

9.1 cm

5 cm

12 cm

answer is B.

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Detailed Solution

$AC = 13 cm In △ ABC \begin{array}{l} ∠ B = 90^{\circ}, BD is median \\ {BD}^{2} = AD . DC \\ \Rightarrow {BD}^{2} = (\frac{13}{2}) (\frac{13}{2}) \\ \Rightarrow BD = \frac{13}{2} = 6 .5 cm \end{array}$

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