Oct 21, · In this part of the essay you will learn how the theorem works mathematically and physically makes sense. With most math it is hard to make it physically work but this theorem is possible to be created outside of writing. When it comes to the Pythagorean theorem it is hard to tell when you use it and when you don’t Nov 19, · The pythagorean theorem says that the area of a square on the hypotenuse is equal to the sum of the areas of the squares on the legs. If the lengths of the legs are A and B, and the length of the hypotenuse is C, then, a^2 +b^2=c2. There are many different proofs of this theorem. They fall in four categories Sep 27, · The Theorem of Pythagorean A right-angled triangle has the relationship of its sides usually shown by the theorem of Pythagoras’s. This theorem is also called the theorem of Pythagorean where the squares of the shorter lengths of the triangle when summed is equal to the squared hypotenuse (Weisstein, )
Essay 1 -- Pythagorean Theorem
Have you ever wondered what the Pythagorean theorem is? Where it came from? Who came up with the idea of it? In this part of the essay you will learn the timeline of the Pythagorean theorem and its Importance in history. Although even being around for over years its importance and uses are almost limitless. Its effects are everywhere and affect everyone and everything. The affects are found in living and pythagorean theorem essay things. Although the effects seem like they are hidden they are right in front of our eyes. Even the math is simple and can be very versatile and can be used with many other formulas to improve its solving capabilities, pythagorean theorem essay. Not only is the math and simple but the history of this theorem is interesting.
From this theorem being fo und by Babylonians to being discovered by Pythagoras to being passed on to his followers, pythagorean theorem essay. From his followers it has new been proven over times and still proofs are being found. More and more this theorem evolves and gets more and more complex in the manner used. None of this would make scenes though if not explained and an explanation is due. What is the history of this theorem? How does the mathematics work? How is it used today? Not only can those questions be answered but they can be explained, proven and shown. Even now there is so much unexplained about the Pythagorean theorem. This essay will only provide a skin to the whole system that is this theorem, pythagorean theorem essay.
This theorem is easily explained but understanding it and the history about it is very difficult. The origins of this theorem are unknown and most likely will never be found but pythagorean theorem essay time goes on our understanding and uses for this theorem will be way greater and farther complicated. The Pythagorean theorem is one of the pythagorean theorem essay mathematical pythagorean theorem essay known to men. It goes way back in BCE but was looked more into and resolved Pythagoras. Pythagoras was a mathematician and a philosopher.
He founded a brotherhood that had contributed to development of mathematics, pythagorean theorem essay. Even inspiring and influencing Plato and Aristotle with his formulated principles and philosophies. Even with all the developmental stuff he has done for mathematics none of his true writings and teachings have survive through word of mouth of his followers. As many know word of mouth travels and changes due to interpretation. Use of the theorem can be seen everywhere in history. It is used I all architecture through time. it has pythagorean theorem essay proved many times throughout history and has been estimated to have different proofs. Not only has this theorem been used for scales and buildings it is used for supports in bridges.
A more ancient type of architecture that used this pythagorean theorem essay for calculation for supports is aqueducts, pythagorean theorem essay. Every support pillar has three support triangles to help keep the weight from crumbling the pillars. Triangles are important in architecture because the equally distribute pressure and weight throughout the triangle. This was useful because of the lack of materials and supplies available. It allowed less materials to be used and still have buildings be sturdier while standing under all its own weight. Look at the colosseum. The colosseum is years old and is still standing strong. Even buildings such as the leaning tower of Pisa still stands even after its awkward and unusual state of being.
For over years its seen in architecture and teaching by scholars in all ages of time, pythagorean theorem essay. Even as children we learn about it. at your ages we learn about the uses and traits of right triangles. These weird traits were stating to be questioned by the Chinese in the 1st that were not yet realized could be solved by the theorem. One of these problems being having the ability to find the length of a side of a right triangle only being given a combination of either two angles or two side or both. Seeing as the theorem was discovered mainly by seeing that triangles and right triangles can be fit into any regular shape. Most of these being squares and rectangles. This can also work with some irregular shapes. this can be seen in the game tangrams, pythagorean theorem essay.
Most ancient examples can only be seen in buildings and seen pythagorean theorem essay tablets that were used only as examples, pythagorean theorem essay. Most of the knowledge died when Pythagoras and his followers and following philosophers died, pythagorean theorem essay. It pythagorean theorem essay only time till the theorem is perfected and more is discovered because Mathematics has evolved and changed and become more advance as time goes on. Even as time continues, and all these advancements happen this theorem will always be helpful.
What about how this theorem works. How does a theorem provide this much information and when can you use it? What are its limits and how does it benefit the user? In this part of the essay you will learn how the theorem works mathematically and physically makes sense. With most math it is hard to make it physically work but this theorem is possible to be created outside of writing. This equation only works with right triangles and can be used to find any of the sides of the triangle, pythagorean theorem essay. Depending on the side you are trying to find the equation can change from addition to subtraction. It starts with a, A is usually the smallest or the side that is flat to the bottom. B is the second longest or the side that goes up.
C is the hypotenuse or the longest side and is usually the side you will be looking for. If you know what two of the sides of the triangle are you can always find the third. When you pythagorean theorem essay have one side of the triangle the formula can still be used but there can be a very of answers for the other two sides unless you use another formula that uses the right angle or any of the other angles to help you calculate the lengths. With help from other formulas and equations this theorem can cover a vast majority of materials. Through these vast amounts of materials, you can physically show the how this equation works.
First you make squares of all the sides. Taking the area of both the smaller squares and combining them pythagorean theorem essay equal the area of the bigger square. This is the most accurate way for finding unknown sides of a triangle. This can be used to help find a rough estimate of the unknown sides of any type of triangle, but it is always correct when used for right triangles. Although this is extremely accurate and is always correct when used in the right way it is very faulty. First it only works with right triangles. If used on equal lateral triangles for example c would equal twice the amount that it really would. When it comes to the type of triangles it only works with one specific type of triangle, pythagorean theorem essay.
There are little to no disadvantages to this theorem. If used in the correct way, it will almost end up right and is easy to learn and you can learn other equations to further the uses of this theorem. Every day we see how the Pythagorean theorem is used. It is everywhere around us in both natural and manmade objects. Not only is it there but we also use the effects of it every day and every second of our lives. In architecture triangles are the most important part, pythagorean theorem essay. Triangles are used for equal weight distribution. They are usually right triangle and put in between wall beams and used in roofs they are used pythagorean theorem essay supports pythagorean theorem essay a bridge and even the wires on top of a bridge.
When it comes to supports and weight triangles are the only shape that can successfully at holding buildings together. Imagine the ground is side a and the fence is side b what is side c. Side c is the board touching the ground and the fence. Side c is the hypotenuse. If you knew the height of the fence and the length of the ground from pythagorean theorem essay fence to the end of the hypotenuse, you would be able to calculate a highly accurate estimate of how long the hypotenuse is. This is just pythagorean theorem essay common example of how people use the Pythagorean theorem. This theorem is a very common practice in our lives. This theorem is used in our daily lives as well as our jobs. In natural objects the Pythagorean theorem is also used. You would have to go out of your way to find them but there are still common examples, pythagorean theorem essay.
In gemstones triangles are natural forming because of the way they are created to support weight. this can also be seen in the patterns that cut diamonds are in today. even in the smallest of jewelry and toys you can see triangles at work. Even in plain sight people would still question how that is the Pythagorean theorem is used every day in common life. We use the effects of this theorem.
Pythagorean Theorem explained
, time: 2:38Pythagorean Theorem - Free Essay
Oct 21, · In this part of the essay you will learn how the theorem works mathematically and physically makes sense. With most math it is hard to make it physically work but this theorem is possible to be created outside of writing. When it comes to the Pythagorean theorem it is hard to tell when you use it and when you don’t The Pythagorean Theorem is Pythagoras' most famous mathematical contribution. According to legend, Pythagoras was so happy when he discovered the theorem that he offered a sacrifice of oxen. The later discovery that the square root of 2 is irrational and therefore, cannot be expressed as a ratio of two integers, greatly troubled Pythagoras and his followers December 8, Mr. Rubinstein Period 6 The Pythagorean theorem is a theorem that states that the sum of the squares of two legs of a right triangle, a and b, is equal to the square of the hypotenuse, c. This can be written and shown as the equation, a2+b2=c2. Because a2+b2=c2, we can solve for the sides of the legs of the right triangles, in terms of this formula of the
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