Question

Prove that the median is bisected in the ratio 2:1 by using vectors

Answer 1

hlo mate

ABCB1 is a parallelogram.

BEB1 is a straight line .

Since CD = AD1 and CD // AD1,

DCD1A is a parallelogram. (opposite sides equal and parallel.)

\ DG // CG1

Since BD = DC and DG // CG1 \ BG = GG1 (intercept theorem)

BG : GG1 = 1 : 1

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