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m_a_m_a [10]
2 years ago
5

Using Triangle Similarity Theorems (6)

Mathematics
1 answer:
Fantom [35]2 years ago
6 0

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

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