EXTRACREDIT+-+SECOND+TRIMESTER

THE PYTHAGORAS THEOREM Through this activity, you will explore who Pythagoras was, and complete a 2 page research paper, with diagrams. You will also complete four real-life problems involving the Pythagorean Theorem and create one at the end of the project. The paper you have been asked to write is about a man by the name of Pythagoras. You need to include answers to the requested topics listed below as a minimum requirement. You will also be completing four problems applying to the Pythagorean Theorem, that you will include in your paper. The paper is due on Monday, March 5. **NO LATE PAPERS WILL BE ACCEPTED**. **REQUIRED TOPICS FOR YOUR RESEARCH: **
 * 1) List all the necessary biographical data about Pythagoras (ex. date of birth year, etc).
 * 2) Tell about Pythagoras' Career as a Mathematics Teacher.
 * 3) List some of Pythagoras' famous discoveries.
 * 4) Describe the Pythagorean Theorem and other related pieces (ex. Pythagorean Triple).
 * 5) Describe how Right Triangle Geometry is important in our world today.
 * 6) Describe professions that use the Pythagorean Theorem.
 * 7) Describe how you may use the Pythagorean Theorem in your life.
 * PAPER FORMAT: **
 * 1) Cover Page
 * 2) Body 2 Pages (Double Spaced, Font-12, Normal Margins)
 * 3) A neatly drawn (or computer generated) right triangle diagram with labeled pieces. (Where is the hypotenuse? (Where are the legs? What side is "a"? What side is "b"? What is "c"?)
 * 4) Problem Sheet (5 questions)
 * 5) Bibliography

**PROBLEM SHEET:** <span style="display: block; font-family: 'arial','sans-serif'; font-size: 24px; text-align: center;">Applications of the Pythagorean Theorem: <span style="display: block; font-family: 'arial','sans-serif'; text-align: center;">(SHOW ALL WORK AND CIRCLE ALL YOUR FINAL ANSWERS) **<span style="font-family: 'Arial','sans-serif'; font-size: 15px;">1.Draw a diagram and solve the following problem. Approximate your answer to the nearest tenths place: ** <span style="font-family: 'Arial','sans-serif'; font-size: 15px;">Two telephone poles are 75 feet apart and the poles are each 50 feet tall. What is the distance from the base of one pole to the top of the other pole (in feet)?

<span style="font-family: 'Arial','sans-serif'; font-size: 15px;">You need to construct a ramp to roll a cart from your garage into the back of your truck. The truck is 8 feet from the garage. The back of the truck is 36 inches above the ground. How long does the ramp have to be (in feet)?
 * <span style="font-family: 'Arial','sans-serif'; font-size: 15px;">2.Draw a diagram and solve the following problem. Approximate to the nearest tenths place. **

<span style="font-family: 'Arial','sans-serif'; font-size: 15px;">A boy, 75 feet away from a building, is looking up at a bird who is sitting on the top of it. The building is 60 feet tall. If the boy could draw a straight line from himself to the bird, how far away from the bird is he (in feet)?
 * <span style="font-family: 'Arial','sans-serif'; font-size: 15px;">3.Draw a diagram and leave your answer in simplest radical form. **

<span style="font-family: 'Arial','sans-serif'; font-size: 15px;">A right triangle has the following sides: <span style="font-family: 'Arial','sans-serif'; font-size: 15px;">A = 1 meterB = ?C = 300 centimeters <span style="font-family: 'Arial','sans-serif'; font-size: 15px;">What is the length of "B", in meters?
 * <span style="font-family: 'Arial','sans-serif'; font-size: 15px;">4.Draw the following and leave your answer in simplest radical form: **


 * <span style="font-family: 'Arial','sans-serif'; font-size: 15px;">5.Create and solve a problem that shows how you might use the Pythagorean Theorem on a real situation. **