Practice: Finding Unknown Side Lengths via Graph Intersections

This example demonstrates how to find unknown side lengths by combining geometric constraints with graph-based modeling, letting learners see how parameter inputs affect the computed results. It centers on concepts such as circle and parabola (quadratic curve) relationships in the coordinate plane, solving for intersection points, and formulating the problem as a system tied to function expressions. The GeoGebra construction uses multiple Textfield elements (for points/labels like A and B as well as objects such as pic1 and function-related items f1–f5) and several InputBox controls (InputBox1–InputBox5) to collect parameters and drive the dynamic update of the curves/geometry, so the unknown lengths can be read from the resulting intersections. Suitable for secondary-level students and for instruction that integrates geometry with coordinate geometry and functional thinking.