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MathNet 2017-part-03 — 176 problems (EN–VI) Question 146

Math Olympiad Vault · MathNet 2017-part-03 — 176 problems (EN–VI)

Question 146

A right trapezoid with longer base $AB$ and shorter base $CD$ is circumscribed about a circle of radius $10$. It is known that the oblique leg $BC$ measures $24$. What is the distance between the midpoints of $BC$ and $AD$?

(A) 21
(B) $\frac{13}{2} \sqrt{11}$
(C) $\frac{33}{5} \sqrt{11}$
(D) 22
(E) 23