in triangle ABC , X is the mid point of AC . If XY||AB , then prove that Y if the midpoint of BC.



In CAB, we have XYAB, thenCXXA = CYYB  BPT   ........1now,  X is the mid point of CA, then CX = XA.now from 1, we have,CXCX = CYYB1 = CYYBCY = YBY is the mid point of BC

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