Area of a Triangle: Comparing with an Equal-Base-Height Rectangle

This GeoGebra example dynamically demonstrates the area of a triangle by comparing it to a rectangle with identical base and height, visually showing that the triangle's area is exactly half of the rectangle's. Core mathematical concepts include the triangle area formula, rectangle area, base-height correspondence, and area conservation. Construction highlights: using GeoGebra commands such as Segment, Point, Ray, Polygon, Midpoint, and Angle, the triangle and its circumscribing rectangle are built, with text objects displaying area values; dragging vertices allows real-time observation of area changes. Suitable for upper elementary to middle school students to grasp the derivation of the triangle area formula, and also useful for teacher demonstrations or student-led exploration of geometric area relationships.