In a `triangle ABC` medians BE and CD are produced respectively to poi – InterviewSolution

InterviewSolution

1.	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.
Answer» `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 Hence proved

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