Question

Use this figure to find each ratio in simplest form.

Answer 1

We know that

triangles ADE and ABC are similar triangles

so, the ratios of their sides must be same

now, we will find value of sides

we are given

AD=12

DB=6

AE=14

EC=7

`AB=AD+DB`

now, we can plug values

`AB=12+6`

`AB=18`

so, we can get ratio

`(DE)/(BC) =(AD)/(AB)`

now, we can plug values

`(DE)/(BC) =(12)/(18)`

So, the ratio in simplest form is

`(DE)/(BC) =(2)/(3)`..............Answer