In aabc, point d is on ab, and point e is on bc
such that de || ac. if db = 2, da = 7, and
de = 3, what is the length of ac?
1) 8
29
3) 10.5
4) 13.5

Step-by-step explanation:

We are given a Triangle ABC , and DE││BC , where D and E lies on AB and BC Respectively. As DE││BC , ABC is similar to BDE. Hence the ratios of the respective sides will be equal . Hence

----------(A)

Given BD=2

BA=BD+AD=2+7=9

DE=3

Putting these values in (A)