Let `O(0,0),P(3,4),` and `Q(6,0)` be the vertices of triangle `O P Q` . The point `R` inside the triangle `O P Q` is such that the triangles `O P R ,P Q R ,O Q R` are of equal area. The coordinates of `R` are a. `(4/3,3)` b. `(3,2/3)` c. `(3,4/3)` d. `(4/3,2/3)`

Explanation

To find the coordinates of point \( R \) inside triangle \( OPQ \) such that the areas of triangles \( OPR \), \( PQR \), and \( OQR \) are equal, we will follow these steps:

### Step 1: Calculate the area of triangle \( OPQ \)

The vertices of triangle \( OPQ \) are:
- \( O(0,0) \)
- \( P(3,4) \)
- \( Q(6,0) \)
...