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

Midpoint of $BC$ is $D\equiv (\frac{1+5}{2},\frac{-1+1}{2})\equiv (3,0)$

Length of the median from the vertex $A$ is

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