In AABC, D and E are points on sides AB and AC respectively, such that

1.	In AABC, D and E are points on sides AB and AC respectively, such that DE \| BC.If ADBD, AE4.5 cm, find AC.
Answer» In∆ABC,wehaveDE∥BC. Since,DE∥BC, thenAD/BD=AE/EC[Basicproportionalitytheorem]......(1) Now,AD=13BD(given) ⇒ADBD=13 now,from(1)weget 13=4.5EC[∵AE=4.5cm] ⇒EC=13.5cm Now,AC=AE+EC=4.5+13.5=18cm Like my answer if you find it useful!

In AABC, D and E are points on sides AB and AC respectively, such that DE | BC.If ADBD, AE4.5 cm, find AC.

Answer»

In∆ABC,wehaveDE∥BC.

Since,DE∥BC,

thenAD/BD=AE/EC[Basicproportionalitytheorem]......(1)

Now,AD=13BD(given)

⇒ADBD=13

now,from(1)weget

13=4.5EC[∵AE=4.5cm]

⇒EC=13.5cm

Now,AC=AE+EC=4.5+13.5=18cm

Like my answer if you find it useful!