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17. Draw the Incentre and Incircle of a given triangle, using only straight edge and compass.
Draw a triangle ABC.
Construct the bisector of the angle ABC using circle arcs.
Construct the bisector bisector of the angle ACB using circle arcs.
The bisectors meet at I the incentre of the triangle.
Construct a perpendicular from I to the line segment BC to meet BC at R.
Using I as centre and |IR| as radius construct the incircle of the triangle. A
END OF CONSTRUCTION I o x o x
90o C R B
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© Project Maths Development Team 2009