In the figure, If AX = 12 XB = 8, AY = 9 , YC = 6 Decide whether XY || BC.
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Where is the figure. It hard to decide without the figure....
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If BC is parallel to XY then AXY and ABC will be similar triangles, as the sides AX || AB, AY || AC and BC || XY.
So then the ratios of corresponding sides will be same.
AX / AB = 3 /(4+3) = 3/7
AY / AC = 5 / (5+9) = 5/14
As the ratios are not equal, the two triangles are not Similar. Hence XY is not parallel to each other.
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