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The othocentre of the triangle is (2,1) and the circumcentre is (7/2, 5/2) then the centroid is a)(3,2) b)(2,3) c)(4,2) d)(3,4) please explain

The othocentre of the triangle is (2,1) and the circumcentre is (7/2, 5/2) then the centroid is


a)(3,2) b)(2,3) c)(4,2) d)(3,4)


please explain

Grade:10

2 Answers

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

Hi Halak,

 

In any trianlge, the Centroid of the triangle divides the orthocentre (H) and Circumcentre (O) in the ratio 2:1 internally.

 

Hence centroid G will be (3,2)

Option (A).

 

Hope that helps.

 

Best Regards,

Ashwin (IIT Madras).

sreekanth reddy
14 Points
9 years ago

(3,2) O=3G-2S

(2,1)=3G-2(7/2,5/2)

(2,1)=3G-(7,5)

3G=(9,6)

G=(3,2)

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