# Find the distance between orthocentre and circumcentre of the triangle with vertex (0,0)(a,0)(0,b)

Grade:9

## 1 Answers

Arun
25758 Points
4 years ago

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 $\sqrt$(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 = $\sqrt$(a²/4 + b²/4)
= (1/2) $\sqrt$(a² + b²)

Regards
Arun(askIITians forum expert)

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