Pythagoras' Theorem Calculation (With Solutions)

① This example demonstrates the dynamic calculation of the Pythagorean theorem by generating random right triangles and automatically computing the hypotenuse with step-by-step solutions. ② The core mathematical concept is the relationship among the sides of a right triangle (a²+b²=c²), involving side length measurement, angle verification, and area validation. ③ Construction highlights: uses GeoGebra's Random command to generate random side lengths, Segment to construct triangle edges, Angle to mark the right angle, Distance to measure sides, and text objects to display the calculation process and results; a button (button1) refreshes the problem. ④ Suitable for middle school geometry teaching or self-study, helping students intuitively grasp the Pythagorean theorem and its applications, and can serve as an interactive classroom exercise tool.