Question

Use the figure to find each ratio in simplest form.
AD/AB
1:3
1:2
2:3

Answer 1

2/3

Explanation:

AB=12+6=18

AD=12

AD/AB=12/18=(6*2)/(6*3)=2/3

AD/AB=2/3

Answer 2

Option C, 2 : 3

Explanation:

In the given triangles ΔADE and ΔABC

We have to find the ratio of AD and AB

here AD = 12 is given

and AB = AD + BD = 12 + 6 = 18

Now ratio of
`(AD)/(AB)=(12)/(18)=(2)/(3)`

similarly
`(AE)/(AC)=(14)/(21)=(2)/(3)`

therefore, Option C, 2 : 3 is the answer.