Grade 9Analytical Geometry
Find the distance between orthocentre and circumcentre of the triangle with the vertex(0,0),(a,0),(0,b)
1 Answer
Arun
Dear Student
When we draw it we see that, it is a right angled triangle.
Hence its orthocentre will be at origin (0,0)
And its hypotenuse will be 
(a²+b²).
And its circum centr will be at mid point of hypotenuse.
So distance from circum centre to orthocentre will be
distance between (0,0) to (a/2, b/2)
Distance = (a²/4 + b²/4)
= (1/2) (a² + b²)
Regards
Arun(aakIITians forum expert)
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