angle bcd is a circumscribed angle of circle a. what is the length of line segment ac? 10 units 12 units 14…

Explanation:

Step1: Recall tangent - radius property

Since $\angle BCD$ is a circumscribed angle and $AB$ is a radius and $BC$ is a tangent, $\angle ABC = 90^{\circ}$.

Step2: Apply Pythagorean theorem

In right - triangle $ABC$, $AB$ is the radius of the circle with length $AB = 8$ and $BC=6$. According to the Pythagorean theorem $AC^{2}=AB^{2}+BC^{2}$. Substitute $AB = 8$ and $BC = 6$ into the formula: $AC=\sqrt{8^{2}+6^{2}}=\sqrt{64 + 36}=\sqrt{100}=10$.

Answer:

10 units