Question

in Triangle ABC, x angle y are point on AB And AC respectively such that AX/XB =3/4, AY=5,And YC=9, the state whether XY And BC parallel Not.​

Answer 1

Answer:

XY is not parallel to each other.

Explanation:

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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