Problem 1_3 (GeoGebra Exercise)
1_3
Four congruent incircles in an equilateral triangle: cos XBC = .
Make use of this to construct the following diagram.
1_3
Solution:
In order to make the construction, I first created an equilateral triangle using the regular polygon feature. Next, I created line segments AY, CX, and BZ. Then I created points in order to use the circle through 3 points option. This allowed me to create a construction that looked like the picture. I can tell in the picture the circles look like they have equal area and in my construction they do not. I also need help understanding the connection to cosXBC= 3/4.