Pythagorean theorem

I'm not exactly sure how to solve this question I might have forgot how to do it but I'm going to guess that based off the picture & what I know about circles I can say that all circles if this makes sense are always similar to each other & that's always no matter what the radius might be ' The steps are as follows... * Obviously draw a triangle * Insert angle bisector for each angle of the tri. Insert the lines & make sure that your long to the point where you can see the point of…

If R and r is the Circumradius and Inradius of a non-degenerate triangle then due to Euler we have an Inequality stated as and the equality holds when the triangle is equilateral. This ubiquitous inequality occurs in the literature in many different equivalent forms [4] and also Many other different simple approaches for proving this inequality are known. (some of them can be found in [2], [3], [5], [17], and [18] ). In this article we present a proof for this Inequality based on two basic…

Famous philosopher Thales once said, “The most difficult thing in life is to know yourself.”, meaning it takes a while to fully understand one’s self and the strengths or weaknesses within (“Thales”). Thales is an ancient Greek philosopher born in the city of Miletus (“Thales of Miletus” Science). Although, he was a Milesian, his parents, Examyes and Cleobuline, were Phoenicians themselves (“Thales of Miletus” Science). Very little was known about Thales, such as his exact birth and death…

Is Algebra Necessary? By The New York Times Algebra is necessary because it is the branch of mathematics that studies l combining elements of abstract structures according to certain rules . Originally these elements would put be interpreted as numbers or quantities, so that the algebra somewhat originally was a generalization . The adjective " algebraic " usually denotes a relationship with algebra , such as in algebraic structure . For historical reasons, it may also indicate a relationship…

I believe that this statement is 100 percent true because without the use of facts nothing can be proven, however theories can help us create facts. With the development of theories there is a basic necessity for proof. The only way to prove a theory is with experimentation, which will lead to be factual information once experimented on. Of course there are some exceptions like in religion there are plenty of theories and none are based off of factual evidence. When it comes to Heaven and Hell…

Proof is incorporated in the VCE Mathematics Study Design 2016-2018 and VCE Mathematics textbooks. Proof is integrated in many areas of study such as arithmetic and number, geometry measurement and trigonometry, algebra and structure, and discrete mathematics (Victorian Curriculum and Assessment Authority [VCAA], 2016). This supports the idea that one of the central goals of school mathematics, notably at the upper secondary level, is the development of proof concepts (Coe & Ruthven, 1994).…

my way to the school library, I’m on the lookout for a small, confused freshman. I find him, and sit at his table. “How did your Geometry test go,” I find myself inquiring, with a hopeful interest, “Did you remember what I told you about the Pythagorean Theorem?” This isn’t my first time in this arena. Since seventh grade, I’ve been a tutor. It started when I could choose whether I wanted to tutor local elementary school students every day or take Spanish. As a seventh grader, the excitement…

Mathematical proof is a method used in both primary and secondary schools at varying levels. Children should be able to justify and give reasons for a conjecture they have produced in order to validate a mathematical proof. There are various techniques that can be used to illustrate the nature of proof in schools. Mathematical proof is defined as a thorough and believable argument to support the truth of a prediction in maths, which turns the assumptions into valid conclusions (Haylock and…

In Arcadia, not only does Tom Stoppard portray Thomasina’s coming of age, but also the forces that drive her to her death. In this play, Stoppard alternates between two sets of characters. Thomasina is from the 19th century, while the characters in the 20th century attempt to piece together how Thomasina’s intelligence doesn’t drive her to the success that she could potentially achieve. Thomasina is a thirteen year old mathematical genius who discovers methods before they are even commonly known…

As we delve deeper into our theories on interpersonal communication, we begin to learn more about ourselves and how to interact with the people around us. Whether they are in our lives on a personal, professional or combined capacity. This week I have decided to look at the theories of Interactional View and Genderlect Styles (Griffin, 2015). When we study Interactional View, a theory developed by Paul Watzlawick, we can see how communication has shaped us into the people we are today.…