Find the length of the median from the vertex b of ∆abc whose vertices are a(1, -1), b(0, 4) and c(-5, 3)

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 =

  =

  = = ≈ 3.6 ( to 1 dec. place )

you are saying it as if a fact, not a question, but yes, you would be correct? ; )

step-by-step explanation: