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In the figure, if $A C$ = 13cm , then the length of the median $B D$ =

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12 cm

6.5 cm

9.1 cm

5 cm

answer is B.

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Detailed Solution

$A C =$ 13 cm

In $∆ A B C$

$∠ B = 90 °, B D$ is median

$B D^{2} = A D . D C$

$\Rightarrow B D^{2} = (\frac{13}{2}) (\frac{13}{2}) \Rightarrow B D = \frac{13}{2} = 6.5 c m$

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