which equation results from applying the secant and tangent segment theorem to the figure? 12(a + 12)=10² 10…

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

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

Answer

Explanation:

Step1: Recall the secant - tangent segment theorem

If a secant segment and a tangent segment are drawn to a circle from an exterior point, then the square of the length of the tangent segment is equal to the product of the lengths of the secant segment and its external segment. Here, the length of the tangent segment is (12), the length of the secant segment is (a + 10), and the length of the external part of the secant segment is (10).

Step2: Apply the formula

According to the secant - tangent segment theorem, (12^{2}=10(a + 10)).

Answer:

(10(a + 10)=12^{2})