Question

Find the lengths of the medians of a triangle whose vertices are A (-1, 1), B (5, -3) and C (3,5).

Answer 1

Suppose AD, BE and CF are the medians. 

∴ Points D, E and F are the midpoints of sides BC, AC and AB respectively. 

∴ By midpoint formula,

∴ The lengths of the medians of the triangle 5 units, 2√13 units and √37 units.