Similarly, for F2, since the middle third of each side of F1 is removed and replaced with two line segments, the number of sides in F2 is given by: (fil this box)

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve and fill the blanks in "The Second Hint" and "The Third Hint"
ACTIVITY : FINDING AREA OF KOCH SNOWFLAKE
Figure 5.11 The first four figures, Fo, F1, F2, and F3, in the construction of the Koch snowflake.
2. THE FIRST HINT
Let Nn denote the number of sides of figure Fn. Since Fo is a triangle, No = 3.
Let In denote the length of each side of Fn. Since Fo is an equilateral triangle
with sides of length lo = 1, we now need to determine N1 and /1. Since F1 is
created by removing the middle third of each side and replacing that line
segment with two line segments, for each side of Fo, we get four sides in F1.
Therefore, the number of sides for F1 is
N1 = 4.3.
3. THE SECOND HINT
Since the length of each of these new line segments is 1/3 the length of the line segments in
Fo, the length of the line segments for F1 is given by
1
%3D
Similarly, for F2, since the middle third of each side of F1 is removed and
replaced with two line segments, the number of sides in F2 is given by: (fill
this box)
48
4. THE THIRD HINT
Since the length of each of these sides is 1/3 the length of the sides of F1, the length of each
side of figure F2 is given by
1/9
Transcribed Image Text:ACTIVITY : FINDING AREA OF KOCH SNOWFLAKE Figure 5.11 The first four figures, Fo, F1, F2, and F3, in the construction of the Koch snowflake. 2. THE FIRST HINT Let Nn denote the number of sides of figure Fn. Since Fo is a triangle, No = 3. Let In denote the length of each side of Fn. Since Fo is an equilateral triangle with sides of length lo = 1, we now need to determine N1 and /1. Since F1 is created by removing the middle third of each side and replacing that line segment with two line segments, for each side of Fo, we get four sides in F1. Therefore, the number of sides for F1 is N1 = 4.3. 3. THE SECOND HINT Since the length of each of these new line segments is 1/3 the length of the line segments in Fo, the length of the line segments for F1 is given by 1 %3D Similarly, for F2, since the middle third of each side of F1 is removed and replaced with two line segments, the number of sides in F2 is given by: (fill this box) 48 4. THE THIRD HINT Since the length of each of these sides is 1/3 the length of the sides of F1, the length of each side of figure F2 is given by 1/9
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