Four Points on a Semicircle

Geometry Level 3

A semicircle has \(AB\) as the endpoints of its diameter, and \(AB= 400\). Points \(C\) and \(D\) are on the circumference of the semicircle such that \(AD = BC = 100\). What is the length of \(DC\)?

Details and assumptions:

  • Lengths given are always the straight line distance between two points, unless otherwise indicated.
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