The Series of Sketches Below Starts with an Equilateral Triangle

question 231

Short Answer

The series of sketches below starts with an equilateral triangle having sides of length 1 (one). In the following
steps, equilateral triangles are constructed by joining the midpoints of the sides of the preceding triangle.
Develop a formula for the length of the sides of the new triangle.

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Definitions:

Personal Audience

The imaginary audience that individuals, especially adolescents, believe is constantly watching and evaluating their actions.

Self-Focused View

A self-focused view is a perspective where an individual prioritizes their own thoughts, feelings, and needs, often at the expense of considering others' perspectives or societal norms.

Private Accountant

An accountant who is employed by a single organization to perform financial duties such as audits, budgeting, and financial statement preparation internally.

Public Accountant

A certified professional who provides accounting services to the public, including auditing, tax advice, and financial consulting.