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Let Po be an equilateral triangle of area 10. Each side of Po is trisected into three segments of equal length, and the corners of Po are snipped off, creating a new polygon (in fact, a hexagon) P. What is the area of P? Now repeat the process to P, i.e., trisect each side and snip off the corners to obtain a new polygon P. What is the area of P? Now repeat this process infinitely to create an object Px. What can you say about the shape P? What is the area of Pa?
Let Po be an equilateral triangle of area 10. Each side of Po is trisecte…
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SOLVED: Let P0 be an equilateral triangle of area 10. Each side of P0 is trisected into three segmentsof equal length, and the corners of P0 are snipped off, creating a new polygon (in fact, ahexagon) P1. What is the area of P1? Now repeat the process to P1 – i.e. trisect eachside and snip off the corners – to obtain a new polygon P2. What is the area of P2? Nowrepeat this process infinitely to create an object P?. What can you say about the shapeP?? What is the area of P??
SOLVED: Let P0 be an equilateral triangle of area 10. Each side of P…
Feb 7, 2022
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