Question

If $A(-1,3),B(1,-1)$ and $C(5,1)$ are the vertices of a triangle ABC find the length of the median passing through the vertex A.

• A. $5$ units
• B. $6$ units
• C. $15$ units
• D. None of these

Answer 1

The correct option is A $5$ units

In a triangle of $ABC$. Let the midpoint be $D$ which lies in between $B$ and $C$

So, $D=(\frac{1+5}{2},\frac{-1+1}{2})=(3,0)$

So, length of median $=$ root of $\left[\right(-1-3{)}^2+(3-0{)}^2]$

$=\sqrt{4^2+3^2}$

$=\sqrt{25}=5$