Here is an image of a triangle showing how it changes with each step. AAA a. Complete this table showing the number of shaded triangles in each step and the area of each triangle. The large outside triangle has an area of 256 in?. step number number of shaded triangles area of each shaded triangle, in 1 3 64 2 3. 4 b. 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.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
icon
Concept explainers
Question
Here is an image of a triangle showing how it changes with each step.
a. Complete this table showing the number of shaded triangles in each step and the area
of each triangle. The large outside triangle has an area of 256 in".
step number
number of shaded triangles
area of each shaded triangle, in
1
3
64
2
3
4
5
b. 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.
6.
Transcribed Image Text:Here is an image of a triangle showing how it changes with each step. a. Complete this table showing the number of shaded triangles in each step and the area of each triangle. The large outside triangle has an area of 256 in". step number number of shaded triangles area of each shaded triangle, in 1 3 64 2 3 4 5 b. 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. 6.
Expert Solution
Step 1: basic information

With every 1 step, each of the given shaded equilateral triangle get divided into4 smaller equilateral triangles. All of these smaller equilateral triangles are of equal areas. Important conclusions:1.The number of shaded triangles formed from the given bigger shaded triangle, is 3.2.The area of each such triangle is 14th of the given bigger shaded triangle.    

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Ellipses
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning