Question

In $△XYZ,m\angle Y=90$ and $XZ=13$. Then, the length of median $\overline{YM}$ is .....

• A. $5$
• B. $12$
• C. $13$
• D. $6.5$

Answer 1

The correct option is A $5$

Question is incomplete.

$\angle y={90}^o,xz=13xy=12yz=?$

In $△XYZ$ is right angle triangle

By using Pythagoras theorem

$\Rightarrow x{z}^2=x{y}^2+y{z}^2$

$\Rightarrow (13{)}^2=(12{)}^2+y{z}^2$

$\Rightarrow \left(yz\right)6=169-144$

$\Rightarrow (yz{)}^2=25$

$\therefore yz=5$