Apply the Tangent-Secant Theorem.

here are the solutions to the problems.

14. In the figure below DC is tangent to the circle at D and O is centre of the circle. AOBC is a straight line. Given that DC = 6cm and BC = 4cm. Calculate the length AC.

Step 1: Apply the Tangent-Secant Theorem.
The Tangent-Secant Theorem states that if a tangent segment and a secant 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.
In this case, C is the exterior point, CD is the tangent segment, and CA is the secant segment with external segment