rxiin
Answered

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Using Triangle Similarity Theorems (6)
A
12
E A
B
9
D
What is the length of DC? Show work.

Using Triangle Similarity Theorems 6 A 12 E A B 9 D What Is The Length Of DC Show Work class=

Sagot :

akposevictor

Answer:

DC = 3

Step-by-step explanation:

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

[tex] \frac{AD}{AC} = \frac{AE}{AB} [/tex]

Plug in the values

[tex] \frac{9}{9 + DC} = \frac{12}{12 + 4} [/tex]

[tex] \frac{9}{9 + DC} = \frac{12}{16} [/tex]

[tex] \frac{9}{9 + DC} = \frac{3}{4} [/tex]

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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