Watch the videos for using the Geogbra Tools needed to complete this activity.
[br]1. Use the polygon tool to draw a triangle. Dont forget to enclose the triangle.[br]2. Use the midpoint/center tool to determine the midpoint for all 3 sides of your triangle[br]3. Using the segment tool draw all 3 of your triangles medians[br]4. Use the point tool to place a point at the intersection of the medians, the centroid.[br]5. Pick one of your drawn medians. Use the measuring tool to measure the whole median you selected.[br]6. Use the measure tool to determine the measure of both pieces of your selected median.
What do you notice about the relationship between the median measurement and the measurement of the two pieces?[br]
What do you notice about the relationship between the measurements of the two pieces of the median?
1. Using the polygon tool draw a triangle. Dont forget to enclose the triangle.[br]2. Use the midpoint/center tool to determine the midpoint for all 3 sides of your triangle[br]3. Using the segment tool draw all 3 of your triangles medians.[br]4. Use the point tool to place a point at the intersection of the medians, the centroid.[br]5. Use the polygon tool to draw the 6 newly formed triangles.[br]6. Use the area tool and click on each of those 6 newly formed triangles to show their areas.
What do you notice about the areas of the 6 new triangles?
How can you determine the measurement of the whole triangle without using the measuring tool?
Search the internet or around your home for something you would like to find its center of gravity. I used the example of a Formula 1 Race car. You can use anything that is remotely triangular-shaped for this activity. It can be real, like a person standing with their feet wider than shoulder-width apart, a tent, a pyramid, a slice of pizza(or similar), or imaginary, like a spaceship from Star Wars, or the triangle Angry Bird. In reality, determining the 3D object's center of gravity/mass would be more complex but this will serve our purpose. [br][br]1. Take a picture or use one found online to upload it in the applet below. [br]2. Adjust the opacity as needed to see your triangle over the top of the picture. [br]3. Using the polygon tool draw a triangle[br]4. Use the midpoint/center tool to determine the midpoint for all 3 sides of your triangle[br]5. Using the segment tool draw all 3 of your triangle medians and determine the object's center of gravity. [br]6. Use the point tool to plot a point at the median's intersection, centroid, aka center of gravity.