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english 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)
francais 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)
italiano 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).

Sunday puzzle 51

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Text and images by Gianni A. Sarcone 
Labels: SUNDAY PUZZLE, puzzles to solve, recreational mathematics, Viviani's theorem
You can use the material shown on this page for educational purpose only as long as you credit us [© G. Sarcone,] and link back to
Creative Commons LicenseSunday Puzzle by Gianni A. Sarcone is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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