Math, asked by sunita6257, 10 months ago

In triangle ABC is midpoint of the median ad and be produced meets side AC at point Q show that be:eq =3:1​

Answers

Answered by Anonymous
4

Let's take point Y on seg AC such that DY | | BX.

As D is a midpoint of BC, by converse of midpoint theorem, XY=YC.

Applying midpoint theorem in triangle CDY, BX=2DY.

As E is a midpoint of AD & EX | | DY,  

AX=XY.

Applying midpoint theorem in triangle DAY, EX= DY/2

BE/EX = BX-EX / EX  

           = 2DY - DY/2 / DY/2

            = 3DY / 2 * 2/YD

              = 3DY/DY

               = 3:1.

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