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5

Part of 2013 ISI Entrance Examination

Problems(1)

AB=BC=r/2, AD diameter, find CD [ISI Entrance 2013/5]

Source:

5/12/2013
Let ADAD be a diameter of a circle of radius r,r, and let B,CB,C be points on the circle such that AB=BC=r2AB=BC=\frac r2 and A≠C.A\neq C. Find the ratio CDr.\frac{CD}{r}.
ratiotrigonometrygeometrygeometric transformationreflection