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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)

1 Answer

6 votes

Answer:


√(13)

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 =
√((0+2)^2+(4-1)^2)

=
√(2^2+3^2)

=
√(4+9) =
√(13) ≈ 3.6 ( to 1 dec. place )

User Kylex
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