9

Part of 2012 Hanoi Open Mathematics Competitions

Problems(2)

Q9 - Hanoi Open Mathematical Olympiad 2012 - Junior Section

Source:

Q9. Evaluate the integer part of the number

H= \sqrt{1+2011^2+ \frac{2011^2}{2012^2}}+ \frac{2011}{2012}.

compute the value

Source:

Let P be the common point of 3 internal bisectors of a given ABC: The line passing through P and perpendicular to CP intersects AC and BC at M and N, respectively. If AP = 3cm, BP = 4cm, compute the value of

\frac{AM}{BN}