Investigation 7: Finding the Altitudes

This example demonstrates how students can observe altitudes in a triangle to discover that they are concurrent. The core mathematical concepts involved include the definition of altitudes in a triangle, the property of concurrent lines, and basic geometric construction techniques. The construction highlights the use of GeoGebra commands such as Segment, OrthogonalLine, and Intersect to create segments, perpendicular lines, and intersection points. This example is suitable for high school mathematics education, helping students understand the geometric properties and proof methods of triangles.