MathDB
semicircle with diameter d

Source: Bosnia and Herzegovina 2011

May 16, 2011
geometrytrigonometrynumber theorynumber theory proposed

Problem Statement

On semicircle, with diameter ∣AB∣=d|AB|=d, are given points CC and DD such that: ∣BC∣=∣CD∣=a|BC|=|CD|=a and ∣DA∣=b|DA|=b where a,b,da, b, d are different positive integers. Find minimum possible value of dd
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