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the circumcentre and centroid of a triangle are 3/2, 5/2 and 4/3, 2/3 then its orthocentre is

Kamal Desai , 8 Years ago
Grade 11
anser 1 Answers
Arun
Dear Kamal
 
Remember that
Cebtroid always divides orthocentre and circum centre in the ratio of 2:1
Let centroid = (x, y)
Hence 
              2.                           1
(x,y)-------------(4/3, 2/3)-----------(3/2, 5/2)
 
Now
[x + 2*(3/2)]/3  = 4/3
x + 3 = 4
x = 1
Similarly
[y + 2*(5/2)]/3 =  2/3
y + 5 = 2
y = -3
 
Regards
Arun (askIITians forum expert)
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Last Activity: 8 Years ago
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