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Compiled and Solved Problems in Geometry and Trigonometry

Florentin Smarandache Compiled and Solved Problems in Geometry and Trigonometry 255 Compiled and Solved Problems in Geometry and Trigonometry 1 FLORENTIN SMARANDACHE 255 Compiled and Solved Problems in Geometry and Trigonometry (from Romanian Textbooks) Educational Publisher 2015 Florentin Smarandache 2 Peer reviewers: Prof. Rajesh Singh, School of Statistics, DAVV, Indore ( ), India. Dr. Linfan Mao, Academy of Mathematics and Systems, Chinese Academy of Sciences, Beijing 100190, P. R. China. Mumtaz Ali, Department of Mathematics, Quaid-i -Azam University, Islamabad, 44000, Pakistan Prof. Stefan Vladutescu, University of Craiova, Romania. Said Broumi, University of Hassan II Mohammedia, Hay El Baraka Ben M'sik, Casablanca B.

23. We extend the radii drawn to the peaks of an equilateral triangle inscribed in a circle ( , N), until the intersection with the circle passing through the peaks of a square circumscribed to the circle ( , N). Show that the points thus obtained are the peaks of a triangle with the same area as the hexagon inscribed in ( , N).

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