Question

use the figure alongside to find DE/BC IF AD/DB =3/2​

Answer 1

$\frac{3}{5}$

Step-by-step explanation:

$Given, \: \: \frac{AD}{DB} = \frac{3}{2} \\ or, \: \: \frac{DB}{AD} = \frac{2}{3} \\ adding \: \: 1 \: \: both \: \: side \\ \frac{DB}{AD} + 1 = \frac{2}{3} + 1 \\ \frac{AB}{AD} = \frac{5}{3} \\ we \: \: know \: \: that \: \: \boxed{if \: \: DE||BC \: \: then, \: \: \frac{AB}{AD} = \frac{BC}{DE} = \frac{AC}{AE}}\\ then, \: \: \: \frac{BC}{DE} = \frac{AB}{AD} = \frac{5}{3} \\ or, \: \: \frac{BC}{DE} = \frac{5}{3} \\ or, \: \: \frac{DE}{BC} = \frac{3}{5}$