Equilateral triange Ao BoCo is given. For every n, natural number, A, Bn, C are midpoints of sides B-1Cn-1, Cn-1An-1, An-1Bn1, respectively. Part of triangle A, B,Co that is outside of triangle A, BỊC1 shade in red color. On the same way shade part of triangle A2 B2C2 outside of triangle A3 B3C3 and so on. Continue the process and find percentage of triangle Ao BOC, that is shaded.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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Equilateral triange Ao BoCo is given. For every n, natural number, A, B, C, are midpoints of sides
Bn-1Cn-1, Cn-1An-1, An-1B1, respectively. Part of triangle Ao B,Co that is outside of triangle A1 B¡C1 shade in red color. On
the same way shade part of triangle A2 B2C2 outside of triangle A3 B3C3 and so on. Continue the process and find percentage of
triangle Ao BoC, that is shaded.
Transcribed Image Text:Equilateral triange Ao BoCo is given. For every n, natural number, A, B, C, are midpoints of sides Bn-1Cn-1, Cn-1An-1, An-1B1, respectively. Part of triangle Ao B,Co that is outside of triangle A1 B¡C1 shade in red color. On the same way shade part of triangle A2 B2C2 outside of triangle A3 B3C3 and so on. Continue the process and find percentage of triangle Ao BoC, that is shaded.
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