Probability of Obtuse Triangle in a Square

This GeoGebra example dynamically simulates selecting three random points inside a square and calculates the probability that the resulting triangle is obtuse. It demonstrates geometric probability, triangle angle classification (acute, right, obtuse), and rational number ratios. The construction uses commands such as Intersect, Point, Polygon, Segment, OrthogonalLine, Circle, PointIn, and Angle to build the square, generate random points, and measure angles. By repeating trials, the tool outputs the empirical probability as a percentage. Suitable for high school or college students exploring geometric probability, random simulation, and statistical reasoning, this interactive model provides hands-on insight into how shape distributions behave in a bounded region.