In triangle ABC, DE||BC meeting AB at D and AC at E.If AB/BD=4 and CE=2cm, find the length of AE.

In triangle ABC, DE||BC meeting AB at D and AC at E.If AB/BD=4 and CE=

1.	In triangle ABC, DE\|\|BC meeting AB at D and AC at E.If AB/BD=4 and CE=2cm, find the length of AE.
Answer» Step-by-step explanation:Here ABC is a triangle,In which and Also, Thus, ( by The alternative interior angle theorem)Similarly, Thus, By AA similarity postulate,By the property of similar triangles,⇒ ( By multiplying -1 on both sides )⇒ ( By adding 1 on both sides)⇒ ⇒ ⇒ ( because and CE=2 )⇒ But, AE = AC - CE = 8 - 2 = 6Thus, AE = 6cm