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Introduction

Know how to use the pythagorean theorem? Know how to determine perimeter and area? You will make measurements from points to make a triangle, and figure the distance of the three parts and the total distance

Resources

  • Textbook Source: Schultz, James E., Hollowell, Kathleen A., Ellis, Wade, Kennedy, Paul A. Geometry. Austin, Orlando, Chicago, New York, Toronto, London, San Diego: Holt Rinehart Winston, 2004 437-444
  • Garfield County satellite image

Prerequisites(s)

  • Know the mechanics of Area, Perimeter, and the Pythagorean Theorem formulas.
  • Have formulas relating to the aforementioned statements.

Standards Addressed

  • S4.2 - Use the Pythagorean Theorem and its converse to find missing side lengths and to determine acute, right, and obtuse triangles.

Instructions

    1. Accessing Project
      1. Download the resource Garfield County Satellite Image. (This will take quite a while, the file is very large) If possible, your teacher needs to download this file the day before and have it located where students may access it faster.
      2. Click the 'Extract all files' from the folder task menu on the left.
      3. Choose My Documents as the location to extract to, click finish when done.
      4. Download the Garfield Count Projects Resource
      5. Click the 'Extract all files' from the folder task menu on the left.
      6. Choose My Documents as the location to extract to, click finish when done.
      7. Click HERE for instructions on how to assemble the Garfield County Project.
      8. Once you have assembled the project, open the folder named Garfield Project.
      9. Open the fGIS program by pressing on the icon.
      10. Double click the "FGIS" folder and open the #2 file.
      11. Select the Measure project file, which should be listed in menu as an option.
      12. If this is your first time using fGIS, access the video Tour to get started.
    2. For those who are outside the EPS network
      1. Download Project 11 zip file.
      2. Save zip file to your My Documents folder.
      3. Navigate to the downloaded zip file in My Documents folder.
      4. Open the project folder.
  1. Open the fGIS double-clicking the icon.
    1. Open the Project11 map file, as it should be listed in the menu.
    2. If not, then navigate to your My Documents folder, and into the Project11 folder and open the map named project11.
  2. If this is your first time, then use the video tour to get started.
  3. What are the distances between Point A, Point B, and Point C?
    1. Use the or tool to zoom in on the three points.
    2. Using the tool, measure the distance between Point A to Point B and from Point B to Point C (record these distances)
    3. Using the Pythagorean theorem, find the third point's distance. (a² + b² = c²)
    4. Then, use the tool to find the length and percent error. (click here to go to percent error website)
  • Does the triangle actually have a 90 degree angle?
    1. Use the or tool to zoom in on the point named triangle.
    2. Click Map and then Print.
    3. Measure the sides with a ruler and test the triangle with the Pythagorean Theorem to see if it is a right triangle. (remember, you need all three sides to do this, think (a² + b² = c²)
    4. Example: 2² + 4² = 5²
    5. 4 + 16 = 25
    6. 20 /= 25
    7. No, it is not a right angle.

     

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