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# A side of math where can you find the golden ratio?

Updated: 9/15/2023

Wiki User

14y ago

The Fibonacci sequence can be used to determine the golden ratio. If you divide a term in the sequence by its predecessor, at suitably high values, it approaches the golden ratio.

Wiki User

14y ago

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Q: A side of math where can you find the golden ratio?
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### How is the golden rectangle to the golden section?

The ratio of the shorter side of the rectangle to the longer side is the same as the ratio of the longer side to the sum of the two sides. And that ratio is the Golden section.

### What is a golden rectangle?

A golden rectangle is a rectangle where the ratio of the length of the short side to the length of the long side is proportional to the ratio of the length of the long side to the length of the short side plus the length of the long side. It is said to have the "most pleasing" shape or proportion of any rectangle. The math is like this, with the short side = s and the long side = l : s/l = l/s+l Links can be found below to check facts and learn more. In ratio terms, the Golden Rectangle has a width/height ratio of 1.618/1.

### What is the example of golden ratio?

Golden ratio can be traced back to as early as 2500 BC. The Great Pyramid of Giza is an example of the golden ratio. the side is 612.01. and the half of the base is 377.9. 612.01/ 377.9= 1.61950... its approximately the measurement of the golden ratio. Another example is the Parthenon.

### What are some real life examples of the Golden Ratio?

You read about all the math related aspects of the golden ratio, and now you want to see it applied to real life, right? Well, you already know about various ways the golden ratio appears in real life, and you probably haven't even thought about it at all! ---- One of the first peoples to use the golden ratio in their art, architecture, and other aspects of daily life was the Egyptians. They called the golden ratio the "sacred ratio" and used it in their hieroglyphics and pyramids, as well as other monuments to the dead. ---- The sides of the Egyptian pyramids were golden triangles. Additionally, the three-four-five triangle is a golden ratio between the five unit side and the three unit side. The Egyptians considered this kind of right triangle extremely important and used it also in the pyramids. ---- ---- The Egyptian hieroglyphics also contained many proportions based on the golden ratio. The letter h, for example, is the golden spiral. Additionally, p and sh are created using golden rectangles ---- However, the use and occurance of the Golden Ratio in aesthetics doesn't end with the ancient Egyptians. It was used by the Pythagoreans, Greeks, Romans, and artists during the Renaissance. ---- The frequent appearance of the Golden Ratio in the arts over thousands of years presents us with an interesting question: Do we surround ourselves with the Golden Ratio because we find it aesthetically pleasing, or do we find it aesthetically pleasing because we are surrounded by it?In the 1930's, New York's Pratt Institute laid out rectangular frames of different proportions, and asked several hundred art students to choose which they found most pleasing. The winner? The one with Golden Ratio proportions.

### What is the measure of a vertex of a golden triangle?

36 degrees exactly. (It's 1/5 of 180.) Golden triangles (i.e., isosceles with side-to-base ratio of phi = golden ratio) are found in pentagrams.

### What is the Golden Rectangle?

The Golden Rectangle is a geometrical figure whose side lengths are in the golden ratio. It can be made with only a compass and a straight edge.

### What the golden rectangle?

The Golden Rectangle is a geometrical figure whose side lengths are in the golden ratio. It can be made with only a compass and a straight edge.

### What is the golden rule of algebra in math?

What you do to one side of the equation, you must do to the other

### Is there a golden triangle if there's a golden rectangle?

There are both golden triangles and golden rectangles. In order to be considered golden the ratio must be the same as the sum of the longest side to the other two sides.

### How do you find the ratio of two adjacent side lengths in a parallelogram?

Exactly like with a rectangle. Divide the longer side by the shorter side and the ratio will be x : 1

### What is the ratio between the length of side in xywz and the length of its corresponding side in gdba?

In order to find their ratio, we need to know the two lengths.

### How do i find the Ratio of the shortest to the longest side of a triangle?

You divide the length of the shortest side by the length of the longest side.