## THIS USER ASKED 👇

**Which equation results from applying the secant and tangent segment theorem to the figure? 12(a + 12) = 102 10 + 12 = a2 10(a + 10) = 122 10(12) = a2**

## THIS IS THE BEST ANSWER 👇

1. You must apply the Secant and Tangent segment theorem, which establishes:

Tangent² = (Total secant segment) (External secant segment)

2. The total secant segment is: AD = a + 12

3. The outer secant segment is: BD = 10

4. The tangent segment is: DE = 12

5. Then you must:

DE² = ADxBD

12² = (a + 10) 10

10 (a + 10) = 12²

6. Therefore, the third choice is the answer: 10 (a + 10) = 12²

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