Math, asked by preet93, 1 year ago

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

Answers

Answered by YASHIKAJINDAL
2
they are not parallel because AX÷AB is not equal to AY÷YC

preet93: thank you so much
Answered by itsmeraj
2

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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