Question Construct a logarithmic spiral using golden ratio triangles with isosceles side of length 3 units

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.3: Properties Of Logarithms
Problem 87E: Stride Frequency of Animals Four-legged animals run with two different types of motion: trotting and...
icon
Related questions
Question

Question

Construct a logarithmic spiral using golden ratio triangles with isosceles side of length 3 units

 

Solution

 

An isosceles triangle is a triangle whose two sides are of equal length.

A golden ratio triangle is an isosceles triangle in which the two longer sides are of equal length and the ratio of this length to that of the length of smaller side of the triangle is the golden ratio.

i.e., If a is the length of two equal longer sides of the triangle and b is the length of the smaller side of the triangle, then \frac{a}{b} =\frac{ 1 + \sqrt{5}}{2}.ba​=21+5​​.

Thus, a logarithmic spiral using golden ratio triangles with isosceles side of length 3 units is given below:

Please describe the construction steps in the solution of the question.

 

 

 

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning