Question

In triangleABC,E is rge midpoint of median AD &BE produced meets side AC at point Q. Show BE:EQ=3:1​

Answer 1

3/1

Step-by-step explanation:

Let's take point x on AC such that BQ∣∣DX

CD=DB (D is median)

Applying midpoint theorem in ΔCBQ

2DX=BQ

Also AE=ED (E is midpoint of AD)

Now applying midpoint theorem on ΔDAX.

2EQ=DX

Hence

EQ

BE

=

EQ

BQ−EQ

=

2

DX

2DX−

2

DX

=

DX

3DX

=3:1