Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
The median from B intersects the midpoint of AC
Find the midpoint using the midpoint formula
midpoint = [ 0.5(1 - 5), 0.5(- 1 + 3) ] = (- 2, 1 )
Calculate the length using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = - 2, 1 ) and (x₂, y₂ ) = (0, 4 )
d = [tex]\sqrt{(0+2)^2+(4-1)^2}[/tex]
= [tex]\sqrt{2^2+3^2}[/tex]
= [tex]\sqrt{4+9}[/tex] = [tex]\sqrt{13}[/tex] ≈ 3.6 ( to 1 dec. place )
