MathPlotAI Logo MathPlotAI

Brilliant Square

Brilliant Square
Loading the math board and drawing, please wait…
2017-12-01 07:07
PolygonTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates an area problem involving a square of edge length 4 and a pair of similar triangles formed by a line segment of length 1 crossing to the opposite side. Core mathematical concepts include area calculation, similar triangles, symmetry, and translation. Construction highlights the use of GeoGebra commands like Intersect and Polygon, along with objects such as n, m, A, B, etc. Suitable for high school mathematics teaching and geometric construction practice.

GeoGebra Commands & Parameters

  1. Intersect(Line[B, D], Line[A, E]) → F
  2. Polygon(A, F, D) → t1, d, a, f
  3. Polygon(B, F, E) → t2, e, b, f_1
  4. Polygon(A, B, F) → t3, f_2, a_1, b_1
  5. Polygon(D, C, E, F) → q1, d_1, c, e_1, f_3