Sallows_triangle_theorem.svg
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Summary
Description Sallows triangle theorem.svg | Visual proof of Lee Sallows's triangle theorem by CMG Lee. 1. Lines from midpoints of edges of length a , b and c (circles) to the opposite vertex split the triangle into 6 regions. 2. Each region is rotated 90 degrees outwards about its hinge, yielding 3 congruent triangles with sides equal and perpendicular to the line segments between the original triangle's vertices and its centroid (2 x , 2 y and 2 z ). 3. The process can be repeated on each smaller triangle. 4. Each resulting triangle has sides a /3, b /3 and c /3, similar to but 1/9 the area of the original. |
Source | Own work |
Author | Cmglee |
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