LET P BE AN INTERNAL POINT OF TRIANGLE ABC. THE LINE THROUGH PWORKI...

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