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D is the mid-point of side BC at a ...

D is the mid-point of side BC at a triangle ABC.AD is bisected at the point E and BE produced cuts AC at the point X. Prove that BE:Ex=3:1.

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Given: In` /_\ABC` midpoint of` BC` is D
Let us draw `DY || BY`
In` /_\ADY`
`:. EX = (DY)/2` (as per mid point theorem)
In `/_\BCX`
`:. DY = (BX)/2` (as per mid point theorem)
`:. EX = (BX)/4`
`:. 4(EX) = BX`
...
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