A Sierpinski triangle can be created by starting with an equilateral triangle, breaking the triangle into 4 congruent equilateral triangles, and then removing the middle triangle. Starting from a single black equilateral triangle with an area of 256 square inches, here are the first four steps: A A A Expand Image 1. Complete this table showing the number of shaded triangles in each step and the area of each triangle. step number of area of each shaded triangle number shaded triangles in square inches 1 256 1 3 2 3 4 2. Graph the number of shaded triangles as a function of the step number, then separately graph the area of each triangle as a function of the step number. 3. How are these graphs the same? How are they different?

A Sierpinski triangle can be created by starting with an equilateral triangle, breaking the triangle into 4 congruent equilateral triangles, and then removing the middle triangle. Starting from a single black equilateral triangle with an area of 256 square inches, here are the first four steps: A A A Expand Image 1. Complete this table showing the number of shaded triangles in each step and the area of each triangle. step number of area of each shaded triangle number shaded triangles in square inches 1 256 1 3 2 3 4 2. Graph the number of shaded triangles as a function of the step number, then separately graph the area of each triangle as a function of the step number. 3. How are these graphs the same? How are they different?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.5: Inequalities In A Triangles

Problem 39E

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