Question 11
Let $\triangle ABC$ be a triangle with area $1000$. Let $M$ and $N$ be points on $AB$ and $AC$ respectively such that
$$AM:MB=3:2\quad\text{and}\quad AN:NC=7:3.$$
Let $X$ and $Y$ be the midpoints of $BN$ and $CM$ respectively. Find the area of $\triangle AXY$.
$$AM:MB=3:2\quad\text{and}\quad AN:NC=7:3.$$
Let $X$ and $Y$ be the midpoints of $BN$ and $CM$ respectively. Find the area of $\triangle AXY$.