Unlocking the Secrets of Triangle Angle Bisectors
The angle bisector divides the opposite side into two segments that are proportional to the other two sides of the triangle. The three angle bisectors of a triangle are concurrent; they meet at a single point called the “incenter” of the triangle. This point is equidistant from all three sides and is the center of […]
How to Construct the Incircle of a Triangle
Straightedge or Ruler: For creating straight lines and measurements. Compass: Indispensable for constructing arcs and circles. Pencil: For marking and drawing. Examples Practice Questions: Can an obtuse triangle have an incircle that touches all its sides? Explain. Given an equilateral triangle of side length \(9 \text{ cm}\), how would you find its inradius without constructing […]
