Solved

The Series of Sketches Below Starts with an Equilateral Triangle

Question 86

Essay

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 area of the nth new triangle. Use math induction to prove your 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 area of the nth new triangle. Use math induction to prove your answer.

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Q81: Write an equation for the hyperbola.<br>-vertices

Q82: Find <span class="ql-formula" data-value="a _

Q83: Find the first term and the

Q84: Find the eccentricity of the conic

Q85: Three noncollinear points determine a triangle. How

Q87: It can be shown that a

Q88: Find the sum of the geometric

Q89: Evaluate the sum using the given

Q90: Graph the ellipse.<br>- <span class="ql-formula" data-value="\frac

Q91: There are some fundamental differences between graphing