Question

Using Triangle Similarity Theorems (6)

Answer 1

Answer:

DC = 3

Step-by-step explanation:

Based on triangle similarity theorem, we would have the following equation:

$\frac{AD}{AC} = \frac{AE}{AB}$

Plug in the values

$\frac{9}{9 + DC} = \frac{12}{12 + 4}$

$\frac{9}{9 + DC} = \frac{12}{16}$

$\frac{9}{9 + DC} = \frac{3}{4}$

Cross multiply

3(9 + DC) = 9×4

27 + 3DC = 36

Subtract 27 from each side

3DC = 36 - 27

3DC = 9

Divide both sides by 3

DC = 9/3

DC = 3