Questions On The Pythagorean Theorem Essay

2. What might have happened for Carl to refer to it as “the sad vegie patch”? (p7)

In the illustration, is a Queen, symbolising success and all of the glory that was promised to come with it. The theme of promised success and the associated rewards that come as a result is continued in the picture of the map - which appears to be from a time of discovery and conquest of new lands. The various scientific diagrams are there in order to make the point that there will be an answer to all of our questions if we work hard, further emphasising the idea of effort leading to the much deserved and promised success.

The creations of Pythagoras were very powerful during the era in which he lived in. He created a community of followers (known as the Pythagoreans) who believed that mathematics was fundamental and ‘at the heart of reality’ (source 1). The people in the society were all proficient mathematicians took mathematics very seriously, to the extent that it was similar to a religion (source 1).

Who created the source? Did the author produce the source for personal use, for one or more individuals, or for a large audience? What is the source’s purpose? If the source is recollecting an event, how long after the event is the retelling?

Pythagoras made influential contributions to philosophy and religion in the late 6th century BC. He is often revered as a great mathematician and scientist and is best known for the Pythagorean theorem which relates the two sides of a triangle to the hypotenuse using the formula a squared plus b squared equals c squared. However, because legend and obfuscation cloud his work even more than that of other pre-Socratic philosophers, one can give only a tentative account of his teachings, and some have questioned whether he contributed much to mathematics or natural philosophy. Many of the accomplishments credited to Pythagoras may actually have been accomplishments of his colleagues and successors. Some accounts mention that the philosophy associated with Pythagoras was related to mathematics and that numbers were

1. Long-distance commerce acted as a motor of change in pre-modern world history by altering consumption and daily life. Essential food and useful tools such as salt were traded from the Sahara desert all the way to West Africa and salt was used as a food preserver. Some incenses essential to religious ceremonies were traded across the world because there was a huge demand for them. Trade diminished economic self-sufficiency by creating a reliance on traded goods and encouraged people to specialize and trade a particular skill. Trade motivated the creation of a state due to the wealth accumulated from controlling and taxing trade. Trade posed the problem of if the government or private

The area of a right triangle is 2. The length of the base is the same as the length of the height. Find this length.

The mean for the column “mean” is 3.56. It is very close to the parameter of interest but is not equal to it. You can calculate a confidence interval for the mean of the mean column, but a specific confidence interval would need to be provided. In that case, the confidence interval would be centered on 3.56, not 3.5.

| 9. Is a triangle with sides of length 6 ft., 21 ft., 23 ft. a right triangle? Explain.

I notice that angle H is in the opposite of the right angle and therefore angle H has a value of 90 degrees. This will mean that the sum of the angles that are listed as (8m - 18) and (5p + 2) will add up to 90. And since the angle (7m + 3) is opposite to the (5p + 2) angle, they're equal. Therefore (8m - 18) + (7m +3) = 90.

One of Thales’ most renounced findings include his discovery in geometric studies in the area reading the rules of triangles. He came to the conclusion that if the base angles of an isosceles triangle are equal, the sum of the angles of a triangle are equivalent to two right angles. With the application of “geometric principles to life situations, Thales was able to calculate the height of a pyramid by measuring its shadow, and the distance of a boat to the shore, by using the concept of similar triangles” (pg. 5, Muehlbauer). Realizations such as these helped shape the beginning for the formation of natural law based on observations of the world through explanation.

a2+b2=c2 is the famous theorem that Pythagoras discovered and named, calling it the Pythagorean Theorem. This theorem applies to the right triangle stating, that by adding the length of both legs squared you can then find the squared length of the hypotenuse. This theorem is set up in way that if you know two of the variables, whether it is a leg(b or a) and the hypotenuse (c) or both legs (a and b), you will always be able to find the third measurement. However, why does this theorem work? Why does a2+b2=c2? That is the question that is asked hundreds of times by thousands of people. The answer to it is not a complicated one, the reasoning behind that is because there are at least 367 Pythagorean Theorem proofs out there (Source four). They

The instruction for this week’s assignment is “The area of a triangle is given by the formula Area = 1/2 * Base * Height. Using the IDLE development environment, create a Python script named t_area.py . Your script must calculate the area of a triangle and display the results of the calculation. The triangle that your script must calculate the areas for has a base of 12 inches and a height of 16 inches. IDLE has both an interactive mode and a script mode. You must use the script mode to develop your script”.

The Greeks made several inventions, most notably in the subject of math, which are still studied today and taught in school. Mathematician Euclid is often credited as the “Father of Geometry” for all his work and studies in this subject, which are compiled in his books called The Elements. He organized known geometrical statements called theorems and logically proved all of them. He proved the theorem of Pythagoras (another Greek mathematician), which stated that the equation (c2 = a2 + b2) is true for every right triangle.

In Famous scientist’s (2015) article Pythagoras it states that five 3D solids were brought into existence by Pythagoras and the Pythagoreans, these items are identical on all of the sides and today they are called dice. The ranged from four sides all the way up to twenty and later Plato believed they belonged to the five Greek elements including aether (n.pag). They said “Pythagoras believed that, like everything else, music was based on whole number ratios. He also believed in its healing properties.”(n.pag) He later would learn that music was controlled by rations, like if a sting is shortened by half it raises an octave or if it’s shortened two-thirds then it moved the pit up one-fifth discovering that octaves are split into fifths not halves (n.pag). Those are the biggest discoveries of Pythagoras and the Pythagoreans, but they still has many more different discoveries. He has been accredited with a lot for being an enigma, and having written no books in his life. Even so the thoughts from learning of this brilliant mathematician tickles the mind and creates great and wonderful thoughts and ideas for many people. Learning about all of this should inspire anyone to travel and learn the ways of other countries and customs and even grasp their mathematical