B6. The barycentre
Draw the centroid or barycentre of a triangle
The centroid is the intersection point of the three medians of a triangle. Any line that passes through the centroid divides the triangle into two parts of the same area. It is usually called "G". You can use the tools, but the explanation will be with commands to learn how to use the Input Bar. After typing a command into the Input Bar, you have to press the "Enter ↩" key.
1st. Type the P=Midpoint(a) command.
2nd Type the Q=Midpoint(b) command.
3rd Type the R=Midpoint(c) command.
4th. Type the medianA=Line(A,P) command.
5th. Type the medianB=Line(B,Q) command.
6th. Type the medianC=Line(C,R) command.
7th. Type the G=Intersect(medianA,medianB) command.
Activate the "Move" tool 
and move the vertices, you will verify that the centroid is always the intersection of the three medians.
The two curved arrows located in the upper right corner of the Graphics View allow you to reset the activity.
If the activity is correct, you will get 10 points automatically.
and move the vertices, you will verify that the centroid is always the intersection of the three medians.
The two curved arrows located in the upper right corner of the Graphics View allow you to reset the activity.
If the activity is correct, you will get 10 points automatically.