Skip to content / Đến nội dung
ThichHocToan.com

Australian AMC 2008 - Intermediate Question 24

AMC AUSTRALIA · Australian AMC 2008 - Intermediate

Question 24

$PQR$ is an equilateral triangle. The point $U$ is the mid-point of $PR$. Points $T$ and $S$ divide $QP$ and $QR$ in the ratio $1:2$. The point of intersection of $PS,RT$ and $QU$ is $X$. If the area of $\triangle QSX$ is 1 square unit, what is the area, in square units, of $\triangle PQR$?

Question illustration
  1. 6
  2. 8
  3. 9
  4. 12
  5. 18