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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
- Accessing Project
- 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.
- Click the 'Extract all files' from the folder task menu on the
left.
- Choose My Documents as the location
to extract to, click finish when done.
- Download the Garfield Count Projects Resource
- Click the 'Extract all files' from the folder task menu on the
left.
- Choose My Documents as the location
to extract to, click finish when done.
- Click HERE
for instructions on how to assemble the Garfield County Project.
- Once you have assembled the project, open the folder named Garfield
Project.
- Open the fGIS program by pressing on the
icon.
- Double click the "FGIS" folder and open the #2 file.
- Select the Measure project file, which should be listed in
menu as an option.
- If this is your first time using fGIS, access the video Tour
to get started.
- For those who are outside the EPS network
- Download
Project 11 zip file.
- Save zip file to your My Documents folder.
- Navigate to the downloaded zip file in My Documents
folder.
- Open the project folder.
- Open the fGIS double-clicking the
icon.
- Open the Project11 map file, as it should
be listed in the menu.
- If not, then navigate to your My Documents folder,
and into the Project11 folder and open the map
named project11.
- If this is your first time, then use the video tour to get started.
- What are the distances between Point A, Point B, and Point
C?
- Use the
or tool to zoom
in on the three points.
- Using the
tool, measure the distance between Point A to Point B and from Point
B to Point C (record these distances)
- Using the Pythagorean theorem, find the third point's distance.
(a² + b² = c²)
- 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?
- Use the
or tool to zoom in
on the point named triangle.
- Click Map and then Print.
- 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)
- Example: 2² + 4² = 5²
- 4 + 16 = 25
- 20 /= 25
- No, it is not a right angle.
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