5. Let P be an internal point of triangle ABC. The line through P
working write the number of the question in the
parallel to AB meets BC at L, the line through P parallel to BC
top left hand corner and your name, initials and
meets CA at M , and the line through P parallel to CA meets AB at
school in the top right hand corner.
N . Prove that
BL
• Complete the cover sheet provided and attach it to
LC × CM
N B ≤ 1
M A × AN
8
the front of your script, followed by your solutions
and locate the position of P in triangle ABC when equality holds.
in question number order.
• Staple all the pages neatly together in the top left
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