Please help with the following problems involving applications of the Pythagorean Theorem. Provide step by step calculations.
1. The sides of a square are lengthened by 6 cm, the area become 121 cm^2. Find the length of a side of the original square.
2.Television sets. What does it mean to refer to a 20in TV set or a 25in TV set units refer to the diagonal of the screen 30 in TV set also has a width of 24 inches. What is the height?
3.Find the polynomial for the perimeter for the area
(see attached file for diagram)
I'm attaching the solution in .doc and .pdf formats.
1. The sides of a square are lengthened by 6 cm, the area become 121 cm2. Find the length of a side of the original square.
Let x be the length of the side of the original square. Then we ...
This posting applies the Pythagorean theorem by helping find the length of a side of the original square, the height of a television set, and the polynomial for the perimeter for the area. The solution provides step by step calculations.
Uses of the Pythagorean Theorem
Geometry is a very broad field of mathematics composed of a wide range of tools that can be used for problem solving. In this module, you are going to research three examples of the implementation of geometry that would employ the use of the Pythagorean Theorem as a problem-solving tool.
The examples you find can come from several different fields of study and applications such as construction, city planning, highway maintenance, art, architecture, and communications, to name a few. The examples you find must clearly demonstrate the use of the Pythagorean Theorem as a tool. Your textbook—Chapter 10, "Modeling with Geometry"—would be a good reference to consult for some examples illustrating the use of the Pythagorean Theorem in applied situations.
For each example you share in your post, address the following:
Demonstrate the use of the Pythagorean Theorem in the solution of this problem.
How is the Pythagorean Theorem applied to help solve this problem in this application?
Why would the Pythagorean Theorem be applied instead of employing some other mathematical tool?
What tools, unique to this application, would be necessary to get the measurements needed to apply the Pythagorean Theorem?
Are there other geometrical concepts that are necessary to know in order to solve this problem?
Are there any modern tools that help solve this kind of problem that either provide a work around, or that rely heavily upon, the Pythagorean Theorem?
When constructing your response, consider the theories, examples, and concepts discussed in your readings this module, and refer to them to support your conclusions.
Write your initial response in a minimum of 200 words. Apply APA standards to citation of sources.
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