Write a formula for the area of the triangles generated in the
Answer to Problem 11PS
Explanation of Solution
Calculation:
The sierpinski triangle is shown below
Length of each side of the original triangle is one unit
Mid-point of each side is considered and another triangle is drawn, dividing the original triangle into four triangles
In this case each side of the triangle
If this exercise is carried out once more, the side of each triangle
When the exercise is carried out once more, the side of each triangle
Thus side length of the triangle that will generated in the
Each side of the triangle is of one unit
It is an equilateral triangle and area of an equilateral triangle is
Where
Hence, according to (1), side length of triangles that will be generated in the
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning