Question

The length of the median from the vertex A of a triangle whose vertices are $A(-1,3),$ B $(1,-1)$ and C$(5,1)$ is

• A. $5$
• B. $4$
• C. $1$
• D. $3$

Answer 1

The correct option is A $5$

Length of the median from the vertex $A$ of a triangle $△ABC$

Let $AD$ be the median.

$\Rightarrow D$ is the midpoint of $BC$

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

Length of median $=AD=\sqrt{{(-1-3)}^2+{(0-3)}^2}=\sqrt{16+9}=\sqrt{25}=5$ units.