Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
Chapter 9.1, Problem 88AE
To determine
To find: Use the result of Problem 86 to do the following problems.
a. Write the first 11 terms of the Fibonacci sequence.
To determine
To find: Use the result of Problem 86 to do the following problems.
b. Write the first 10 terms of the ratio
To determine
To find: Use the result of Problem 86 to do the following problems.
c. As gets large, what number does the ratio approach?
This number is referred to as the golden ratio. Rectangles whose sides are in this ratio were considered pleasing to the eye by the Greeks. For example, the fac̀§ade of the Parthenon was constructed using the golden ratio.
To determine
To find: Use the result of Problem 86 to do the following problems.
d. Write down the first 10 terms of the ratio
To determine
To find: Use the result of Problem 86 to do the following problems.
e. As gets large, what number does the ratio approach? This number is referred to as the conjugate golden ratio. This ratio is believed to have been used in the construction of the Great Pyramid in Egypt. The ratio equals the sum of the areas of the four face triangles divided by the total surface area of the Great Pyramid.
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