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Given 2 sides and height: Self-check applet

Given 2 sides and height: Self-check applet
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2016-09-16 00:19
TriangleCoordinate GeometryGeometric Construction
In collections Triangle Constructions
This example demonstrates how to construct a triangle using two given sides and a height, verifying its geometric properties. Core math concepts include triangle construction, coordinate geometry, and geometric drawing. Construction highlights involve commands like Segment, Circle, OrthogonalLine, Intersect, and Polygon. Suitable for high school mathematics education, aiding students in understanding triangle construction and practical applications.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(X, Y) → Y_1
  3. Segment(W, Z) → g
  4. Circle(A, Y_1) → c
  5. OrthogonalLine(A, f) → h
  6. Circle(A, g) → d
  7. Intersect(d, h, 2) → C
  8. OrthogonalLine(C, h) → i
  9. Intersect(c, i, 2) → D
  10. Polygon(D, A, B) → target, b, d_1, a

AI Drawing Prompt Reference

Draw a triangle given two sides and the height from one side. Start by drawing the two given sides. Then, draw a circle with one side as the diameter. Next, draw a perpendicular line from the midpoint of the other side, intersecting the circle at two points. Connect these intersection points to the endpoints of the other side to form the triangle.
The prompt above was compiled from the original drawing commands and is for reference only.