Constructing triangles with a plan
Plan figure, numbered description and number of solutions for triangle constructions, also with a height.
- France: grade 2
- Germany: grade 7
- Syria: grade 5
- Palestine: grade 6
- Ukraine: grade 7
Guide
Constructions follow a fixed plan: first a Planfigur (a sketch with the given parts marked), then the construction with compasses and a ruler, then a numbered Konstruktionsbeschreibung, and finally a check: how many solutions are there?
The Kongruenzsätze sss, sws, wsw and Ssw tell you when the given parts fix the triangle. Ssw needs the angle opposite the longer of the two given sides.
A point that must satisfy two conditions lies on two Ortslinien: for example a circle about A and a parallel to AB at the distance h_c.