Question

In $△ABC,$ if $m\angle B=90$&$AC=10$ then length of median $BM=$________.

• A. $6$
• B. $5\sqrt{2}$
• C. $5$
• D. $8$

Answer 1

Answer: (C)

$5$

In $△ABC,M\angle B=90$ and $AC=10$
$BM$ is a median
$\therefore$ M is a midpoint of $AC$
$\therefore$ is a circumcentre of $△ABC$
$\therefore AM=CM=BM$ ....... $(\because$ Circumradius)
$\therefore BM=\frac{1}{2}AC=\frac{1}{2}\left(10\right)=5$