Question

Х In the given figure XZ | AB; BY || AX; AY || BZ. Prove that triangle AXY triangle BYZ.









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Answer 1

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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.

Answer 2

Answer:

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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