Question

In triangle ABC, DE parallel to BC. If AB = 12cm ,AD = 8 cm ,EC =3 cm , find AE.

Answer 1

Answer:

AB = 7.5

Step-by-step explanation:

In a ∆ABC, DE is parallel to BC .... Given

Using Basic Proportionality Theorem,

AD/DB = AE/EC

3/DB = 8/12

3/DB = 2/3

DB = (3x3) / 2

DB = 9/2

DB = 4.5

AB = AD + DB

AB = 3 + 4.5

AB = 7.5