Week 6 Discussion Question Version 8 Week 6 DQ 2 1. Other than those listed in the text‚ how might the Pythagorean theorem be used in everyday life? 2. Provide examples of each. RESPONSE 1. Other than those listed in the text‚ how might the Pythagorean theorem be used in everyday life? Well other than the way its listed in the text the way that the pythagorean theorem can be used any time is when we have a right triangle‚ we know the length of two sides‚ and we want to find
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. Exercise: Week Six Concept Check The theorem works In any right triangle. A key observation is that a and b are at right angles. Movement in one direction has no impact on the other. The Pythagorean Theorem can be used with any shape and for any formula that squares a number. The Pythagorean Theorem lets you use find the shortest path distance between orthogonal directions. So it’s not really about right triangles — it’s about comparing “things” moving at right angles. The
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Equations and their Applications A right triangle is a triangle with a 90 degree angle. These types of triangle can be found all around us and we have a handy formula that describes the relationship between all three sides of right triangles‚ The Pythagorean theorem. This says that for any right triangle that has sides of length a and b‚ and hypotenuse of length c‚ the following equation holds: a2+b2=c2. For your initial response: Complete both parts. a) You’re locked out of your house and the
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an understanding on right triangles. Explain a proof of the Pythagorean Theorem and its converse. b. Students should be able to solve two-step equations. c. Students should be able to calculate and estimate square roots. d. Students should be able to evaluate expressions or equations with single digit exponents Students should already have an understanding on right triangles. Explain a proof of the Pythagorean Theorem and its converse. b. Students should be able to solve two-step
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influenced a group of early Greek scientific and religious thinkers‚ the Pythagoreans. They believed that the soul was immortal and separable from the body. Because they believed that the soul was reincarnated in different animal bodies‚ they practiced vegetarianism. The group was almost cult-like in that it had symbols‚ rituals and prayers. In addition‚ Pythagoras believed that "Number rules the universe‚" and the Pythagoreans gave numerical values to many objects and ideas. These numerical values
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MTH 405 Midterm 16/3/2011 1. A specific area for the area of various polygons is the one for the area of a regular polygon. The setup and initial steps to creating the proof require a geometric approach that would otherwise make proving a big challenge. For example‚ a polygon with n sides is broken up into a collection of n congruent triangles‚ this geometric setup is key in reaching an easy solution for the area. The algebraic aspect comes into play when it comes to deriving the equation
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The life and brutal death of Hypatia of Alexandria has been a topic of debatable discussion since the 4th century C.E. She lived Alexandria‚ Egypt (the center of ancient knowledge) and while it is assumed that she learned the study of mathematics from her father‚ “Theon of Alexandria” it is known that she was the head geometry teacher of the Neo-Platonist school (Belenky‚ 2010). Hypatia is regarded as one of the first women that contributed in many ways to the field of mathematical findings that
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Bibliography: Hall‚ Mandy. Johann Gregor Mendel. Muskingum University‚ Dec. 1999. Web. 25 Feb. 2014. . Morris‚ Stephanie J. "The Pythagorean Theorem." The Pythagorean Theorem. The University of Georgia Department of Mathematics Education‚ n.d. Web. 02 Feb. 2014.
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The Distance Formula In week one‚ we learned a simple yet extremely useful math concept‚ the Distance Formula. This formula uses the Pythagorean Theorem to determine the distance between two points on the rectangular coordinate system. Variations of the Pythagorean Theorem such as the Distance Formula can be used in building things or making plans to build something. Scenario Suppose you are volunteering at the local community center. The community center committee is planning to install
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Pythagoras of Samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet we know relatively little about his mathematical achievements. Unlike many later Greek mathematicians‚ where at least we have some of the books which they wrote‚ we have nothing of Pythagoras’s writings. The society which he led‚ half religious and half scientific‚ followed a code of secrecy which certainly means that today Pythagoras is a mysterious figure
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