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english Triangle ABC is isosceles (AB = AC) with an arbitrary point P on BC. Prove that the circumcircles of triangles ABP and APC are congruent.
francais Le triangle ABC est isocèle (AB = AC) ; un point P est placé au hasard sur BC. Montrer que les cercles circonscrits aux triangles ABP et APC sont congruents.
italiano Il triangolo ABC è isoscele (AB = AC); su BC viene segnato, a caso, un punto P. Dimostrare che i cerchi circoscritti ai triangoli ABP e APC sono congruenti.

Sunday puzzle 46

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Text and images by Gianni A. Sarcone 
Labels: SUNDAY PUZZLE, puzzles to solve, recreational mathematics, isosceles, circumcircles
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