Xy is drawn parallel to the base BC of a triangle  ABC cutting  AB at X and AC at Y . if AB = 4BX and YC = 2 cm , then AY  is  equal to :

     (a)   2 cm

     (b) 4 cm 

     (c) 6cm         (d) none of these .

Asked by utkarshdristant1998 | 7th Jun, 2014, 10:16: AM

Expert Answer:

G i v e n space  X Y thin space i s space p a r a l l e l space t o space b a s e. space S o space X Y space c u t s space b o t h space A B space a n d space A C space i n space s a m e space r a t i o  G i v e n space A B space equals space 4 space B X  S o space A X space : thin space B X space equals space 3 space : thin space 1  S i m i l a r l y space A Y space : space C Y space equals space 3 space : thin space 1  G i v e n space C Y space equals space 2 c m  S o space A Y space equals space 3 cross times 2 equals 6 c m

Answered by Dharma Teja | 7th Jun, 2014, 06:37: PM