Answer:
3/29
Step-by-step explanation:
Δ A BC ∼ Δ D A C t h e n ∣ BC ∣ ∣ A C ∣ = ∣ A C ∣ ∣ C D ∣ ∣ A C ∣ 2 = ∣ BC ∣ ⋅ ∣ C D ∣ ∣ A C ∣ 2 = 9 ⋅ 29 ∣ A C ∣ = 9 ⋅ 29 ∣ A C ∣ = 3 29
To find AC, we used the relationship of segments where ∣ A C ∣ 2 = ∣ BC ∣ ⋅ ∣ C D ∣ . We computed it to be ∣ A C ∣ = 261 , which is approximately 16.155. However, the correct representation remains as ∣ A C ∣ = 261 .
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