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The incircle and angle bisectors have to be drawn for a given triangle.
The task is to draw the incircle of a given triangle. To achieve this, the angle bisectors have to be constructed.
The triangle can be presented as a drawing, or it may be necessary to draw it first. In the latter case, some dimensions are given that unambiguously specify the triangle.
The dimensions given can be chosen to be either
- the lengths of the three sides
- the site of two angles and the length of the common side
- the length of two sides and the size of the angle between these sides
- or a random selection of the three possibilities above.
It can be chosen whether the angle bisectors are included in the given triangle, or have to be constructed. In the latter case, there may be a hint in the task description that mentions the necessity of the angle bisectors, or this hint may be omitted.
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|Number of problems||1, 2|
|Given||sides, angle,side,angle, side,angle,side, sss or asa, sss or sas, asa or sas, sss, sas or asa, triangle w/o a.bisectors, triangle w/ a.bisectors|
|Mention angle bisectors||Yes, No|