Construct ΔABC in which BC = 4.2 cm, ∠ABC = 60° and AB = 5 cm. Construct a circle of radius 2 cm to touch both the arms of ∠ABC of ΔABC.
This is a standard construction according congruent theorem SAS:
1. Draw the angle.
2. Determine on the legs of the angle the length of the sides. This will give you the points A and C.
3. Connect A and C.
4. The midpoint M of the circle is the point of intersection of 2 parallels to the legs of the angle, distance 2 cm.
5. Draw the circle.