Question

Is the Sun of the angles of any polygon 1600? How about 900?

Answer 1

Answer:

Let $\mathrm{A}(-1,1), \mathrm{B}(3,4)$ and $\mathrm{C}(2,0)$ be given three points. A line $\mathrm{y}=\mathrm{mx}, \mathrm{m}\ \textgreater \ 0$, intersects lines $A C$ and $B C$ at point $P$ and $Q$ respectively. Let $A_{1}$ and $A_{2}$ be the areas of $\triangle A B C$ and $\triangle P Q C$ respectively, such that $A_{1}=3 A_{2}$, then the value of $\mathrm{m}$ is equal to : (1) $\frac{4}{15}$

(2) 1

(3) 2

(4) 3