in ∆ABC if X AND Y ARE POINT ON AB AND AC RESPECTIVELY SUCH THAT AX÷XB=3÷4 ,AY=5 AND YC=9 THEN STATE WHETHER XY AND BC PARALLEL OR NOT
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they are not parallel because AX÷AB is not equal to AY÷YC
preet93:
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Answer:
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.
Step-by-step explanation:
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