RU-ALLRUSSIAN 1988 Problem 5
- Answer
The quadrilateral ABCD is inscribed in a fixed circle. It has AB parallel to CD and the length AC is fixed, but it is otherwise allowed to vary. If h is the distance between the midpoints of AC and BD and k is the distance between the midpoints of AB and CD, show that the ratio h/k remains constant.
Dataset text NuminaMath olympiads. Quoted with source.
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