2

Part of 2012 Hanoi Open Mathematics Competitions

Problems(2)

Q2 - Hanoi Open Mathematical Olympiad 2012 - Junior Section

Source:

Q2. Let be given a parallegogram

ABCD

with the area of

12 \ \text{cm}^2

. The line through

A

and the midpoint

M

BC

BD

N.

Compute the area of the quadrilateral

MNDC.

(A) \; 4 \text{cm}^2; \qquad (B) \; 5 \text{cm}^2; \qquad (C ) \; 6 \text{cm}^2; \qquad (D) \; 7 \text{cm}^2; \qquad (E) \; \text{None of the above.}

compare P =2^a,Q =3, T=2^b, where a=\sqrt2 , 1+1/\sqrt2 (HOMC 2012 Q2)

Source:

Compare the numbers

P = 2^a,Q = 3, T = 2^b

a=\sqrt2 , b=1+\frac{1}{\sqrt2}

P < Q < T

T < P < Q

P < T < Q

T < Q < P

Q < P < T

algebracomparison