It's All Good

• The point R will be the centroid of the triangle due to the given condition

Coordinates of $R\in \left( \frac { 0+6+3 }{ 3 } ;\frac { 0+4+0 }{ 3 } \right)$

$3\times \frac { 4 }{ 3 } =4\quad$

The point $R$ is the centroid of the triangle, also $\triangle OPQ$ is isosceles, consequently, the centroid of the triangle has coordinate $x=3$ . To find $y$ coordinate find the distance between $P_y$ and $0$ that is equal $4$ , divides by $3$ and sum $\frac{4}{3}+0$

$\boxed{R(3,\frac{4}{3})}$ and its product is $4$

Sins the area of all the triangles are same this means that R is the centroid of the triangle. Centroid of the triangle on solving will come out as (3,4/3) and the product will be 3*4/3 = 4units

how can this be a level 3 problem