Problem

2024 Mock AMC 10 - Problem 3

Points $A$ and $B$ are on a circle with center $O$ such that $AB = 20$ . Point $M$ is the midpoint of the chord $AB$ . The perpendicular bisector of $AB$ intersects the circle at $C$ and $D$ . If $CM = 10$ , find $MD$ .

$\textbf{(A) }8\qquad\textbf{(B) }10\qquad\textbf{(C) }12\qquad\textbf{(D) }14\qquad\textbf{(E) }16$

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Category: Mock AMC 10
Points: 2
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