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SUNDAY PUZZLE #51
 ABC is an equilateral triangle. P is an arbitrary point where segments a, b and c meet. Segment c is perpendicular to AB. Segment a is perpendicular to BC. Segment b is perpendicular to AC. Prove that a + b + c = h (height of the triangle) ABC est un triangle équilatéral. P est un point quelconque où les segments a, b et c se rencontrent. Segment c est perpendiculaire à AB. Segment une est perpendiculaire à BC. Segment b est perpendiculaire à AC. Montrer que a + b + c = h (hauteur du triangle) ABC è un triangolo equilatero. P è un punto arbitrario dove i segmenti a, b, e c si incontrano. Segmento c è perpendicolare ad AB. Segmento a è perpendicolare a BC. Segmento B è perpendicolare ad AC. Dimostrare che a + b + c = h (altezza del triangolo). You can comment and discuss this puzzle on our FaceBook or Blogger web page. › Click to show/hide the solution

Text and images by Gianni A. Sarcone
Labels: SUNDAY PUZZLE, puzzles to solve, recreational mathematics, Viviani's theorem
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