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Isosceles Triangle with Altitude

Isosceles Triangle with Altitude
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2017-10-12 00:51
TriangleCoordinate GeometryGeometric Construction
In collections M 333L F17 Constructions
This example demonstrates the construction of an isosceles triangle and its altitude. Key mathematical concepts include the properties of isosceles triangles, perpendicular lines, and angles. Using GeoGebra commands such as Segment, Line, OrthogonalLine, and Intersect, the construction of the isosceles triangle and its altitude is illustrated. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(C, D) → g
  3. Line(E, F) → h
  4. OrthogonalLine(G, h) → i
  5. Intersect(h, i) → H
  6. Circle(H, g) → c
  7. Intersect(c, i, 2) → I
  8. Circle(I, f) → d
  9. Intersect(d, h, 2) → J
  10. Polygon(H, G, J) → t1, j, h_1, g_1
  11. Angle(J, H, G) → α
  12. LineBisector(h_1) → k
  13. Intersect(h, k) → K
  14. Polygon(J, K, G) → t2, g_2, j_1, k_1