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Grade 10Analytical Geometry

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

Profile image of Halak Sheth
14 Years agoGrade 10
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2 Answers

Profile image of Ashwin Muralidharan IIT Madras
ApprovedApproved Tutor Answer14 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).

Profile image of sreekanth reddy
14 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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