Distance Between Circumcentre and Orthocentre

Rarely Tested

Distance Between Circumcentre and Orthocentre

For a triangle:

$$OH^2=9R^2-(a^2+b^2+c^2)$$

Terminology

- $$h$$ → Orthocentre.

- $$o$$ → Circumcentre.

- $$r$$ → Circumradius.

Usage

- Used to find the distance between the circumcentre and orthocentre using the side lengths.

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