3. The triangle ABC has AB = CA and BC is its longest side. The
to complete a small number of questions than to
point N is on the side BC and BN = AB. The line perpendicular
try all the problems.
to AB which passes through N meets AB at M . Prove that the line
• Each question carries 10 marks. However, earlier
M N divides both the area and the perimeter of triangle ABC into
questions tend to be easier. In general you are
equal parts.
advised to concentrate on these problems first.
• The use of rulers, set squares and compasses
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