Question

prove that the median of a triangle bisects the line joining the other two sides
(midpoint theorem and parallelogram properties)

Answer 1

Answer:

no prove that the median of a triangle bisects the line joining the other two sides

(midpoint theorem and parallelogram properties)

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Answer 2

Answer:

We have to prove that : AG = DG

We know that Line joining mid points of two sides of any triangle is parallel to and half of the thirds side.

Similarly ED is parallel to AC and DF is parallel to AB.

If, now, we look carefully we find that the quadrilateral has two pairs of parallel segments Hence it is a parallelogram. Hence -

Its diagonals must bisect each other. ie, AG = DG

And also EG = GF …………. Proved