in ∆ABC , if X and Y are points on AB and AC respectively such that AX\XB=3\4, AY=5 and YC =9 then state ,whether XY and BC are parallel or not
Answers
Answered by
6
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:
Similar questions