Analytic Geometry Challenge

Challenge #1: Wait for a challenge to appear to the class before proceeding.
The teacher will give you a challenge and then you are to follow the instructions and create that work on Geogebra.[br][br]You will be observed completing ALL OF your work TODAY and receive a mark based on these Observations. Take the challenges, and try your best!
Challenge #2: Wait for a challenge #2 before beginning
Challenge #2
Challenge #3: Wait for a challenge #3 before beginning
Challenge #3
What do you notice about the areas of each of the small triangles? Why might this be an important point to find in a triangle?
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Information: Analytic Geometry Challenge