Geometry in Real Life To become familiar with the fact that geometry (similar triangles) can be Description In this project I tried to find situations in daily life where geometrical notions can be effectively used‚ I selected the following examples: 2. To find height of a tower 1. To find the width of a river iC BS E .co used in real life to find height of certain things and width of many others. m Objective iC BS E.c om To find the width of a river Walked along
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The Five Platonic Solids The five platonic solids are the tetrahedron‚ cube‚ octahedron‚ dodecahedron‚ and a icosahedron. They are named for the greek philosopher Plato. Plato wrote about them in the Timaeus (c.360 B.C.) in which he paired each of the four classical elements earth‚ air‚ water‚ and fire with a regular solid. Earth was paired with the cube‚ air with the octahedron‚ water with the icosahedron‚ and fire with the tetrahedron. The fifth Platonic solid‚ the dodecahedron‚ Plato says that
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Diophantus was a Greek mathematician that lived in Alexandria in the 3rd Century. His estimated birth and passing years are said to be from 150 B.C. to 350 A.D. Although there is not enough information about his life‚ there is a riddle that estimates how long he lived. The mathematic puzzle is known as ‘Diophantus Riddle’. The riddle states he married while he was 33‚ then he had a son who lived for 42 years and the total years Diophantus lived according to the riddle was a total of 84 years. Through
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Name: Date: Graded Assignment Unit Test‚ Part 2 Answer the questions below. You may use a drawing compass‚ ruler‚ and calculator. When you are finished‚ submit this test to your teacher by the due date for full credit. You ARE NOT allowed to use the internet while completing this exam unless specific directions are given in a problem stating that you may access a graphic via google or other search engine. Use of the internet while completing this test is considered cheating and will result in
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The Right Triangle |Component of vectors |Resultant vectors by component method 28 July 2012 REDG 2011 1 The Right Triangle (c) (a) (b) c = a +b 2 2 2 2 2 Solve for a and b. a2 = c2 -b2 b2 = c2 -a2 c = a +b 28 July 2012 REDG 2011 2 The Right Triangle hypotenuse opposite adjacent 28 July 2012 REDG 2011 3 The Right Triangle adjacent hypotenuse opposite 28 July 2012 REDG 2011 4 The Right Triangle The opposite always faces opposite
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In today’s world‚ there are a multitude of mathematical theorems and formulas. One theorem that is particularly renowned is the Pythagorean Theorem. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides of any right triangle. While most people have heard of or even used the Pythagorean Theorem‚ many know little of the man who proved it. Pythagoras was born in 570 BC in Samos‚ Greece. His father‚ Mnesarchus‚ was a merchant from Tyre who traveled
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Castle Rock‚ walk x paces to the north‚ and then walk 2x - 4 paces to the east. If they share their information then they can find x and save a lot of digging. What is x? Given this scenario the Pythagorean Theorem would be the strategy we use to solve for x. I started off with the Pythagorean Theorem. I then plugged the binomials into the Pyth. Thrm. Next I moved (2+6)^2 to le left of the equation by subtracting (2x+6)^2 from both sides. I then squared the expression Next I foiled the expression
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The Neolithic Revolution and the Renaissance provided mankind with new ways of life. Although these advancements in architecture‚ agriculture‚ education and ideas transpired in different periods of history‚ they both had massive effects on our way of life today. Without these revolutions‚ our lives today would be unrecognizable. Life was drastically different before the Neolithic Revolution. During the Paleolithic Period‚ people were nomads. They lived in groups of 20-30‚ and survived solely
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Following completion of your readings‚ complete exercise 4 in the “Projects” section on page 620 of Mathematics in Our World. Make sure you build or generate at least five more Pythagorean Triples using one of the many formulas available online for doing this. After building your triples‚ verify each of them in the Pythagorean Theorem equation. The assignment must include (a) all math work required to answer the problems as well as (b) introduction and conclusion paragraphs. Your introduction should
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Anmol Mehrotra Pythagorean triples Math Bonus A Pythagorean triple consists of three positive integers a ‚ b ‚ and c ‚ such 2 2 2 that a + b = c . Such a triple is commonly written ( a ‚ b ‚ c )‚ and a wellknown example is (3‚ 4‚ 5). If ( a ‚ b ‚ c ) is a Pythagorean triple‚ then so is ( ka ‚ kb ‚ kc ) for any positive integer k . A primitive Pythagorean triple is one in which a ‚ b
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