A Triangle is formed by the points (7,10) (3,6) and (5,2). The triangle is the top of a table.
Find the coordinate of the support post that evenly distributes the weight of the tabletop.
To get started: Plot the points of the triangle using "New point"
Other tools that "may" be needed: Segment through Two Points, Ray through Two points, Midpoint or center, Perpendicular Line, Angle bisector
Good Luck!

What terminology did you use from Chapter 5?
How do you know that this coordinate evenly supports the tabletop? (HINT: Make a polygon in Geogebra out of each inner triangle and compare their areas.)
Were you able to find the tools needed within GeoGebra?
How would you find the circumcenter, incenter, and orthocenter?