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In a triangle ABC medians BE and CD are ...

In a `triangle ABC` medians BE and CD are produced respectively to points X and Y such that CD = DX and BE =EY.Show that X,A and Y are collinear. Also, show that A is the midpoint of XY.

Text Solution

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`A xx BC` is a `||gm`
`AYCB` is also a ||gm
`AX || CB`
`AY || BC`
`A + B + C = 180^@`
`AX=CB & AY=BC`
So,`AX= AY`
A is the midpoint of XY
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