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

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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

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 `(4/3,3)` (b) `(3,2/3)` `(3,4/3)` (d) `(4/3,2/3)`

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

As discussed earlier, three medians of a triangle divide the triangle into six equal areas. So point R must be centroid.
Therefore, `R-=((3+6+0)/(3),(4+0+0)/(3))-=(3,(4)/(3))`

4 views Answered 2023-02-05 15:29