The vertices of a triangle are the points P - 26,17 , Q 30,17 and R 10,2 . If G and Ι be the centroid and incentre of the triangle P Q R , then the value of G Ι 2 is equal to

Question

The vertices of a triangle are the points P - 26,17 , Q 30,17 and R 10,2 . If G and Ι be the centroid and incentre of the triangle P Q R , then the value of G Ι 2 is equal to, 205 9, 205 3, 3 3, 27

MARKS App · Accepted Answer

Coordinates of G are 14 3 , 12 P Q = 56 , Q R = 25 , R P = 3 9 x -coordinate of Ι is - 26 × 25 + 30 × 39 + 10 × 56 56 + 25 + 39 = 9 y -coordinate of Ι is 17 × 25 + 17 × 39 + 2 × 56 56 + 25 + 39 = 10 ⇒ G Ι 2 = 14 3 - 9 2 + 12 - 10 2 = 205 9

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