The distance between the orthocenter and circumcentre of the triangle with vertices (1, 2) (2, 1) and is

Question

Philoid · Accepted Answer

Let A(1, 2), B(2, 1) and Cbe the given points.

∴AB

BC

AC

Thus, ABC is an equilateral triangle.

We know that the orthocentre and the circumcentre of an equilateral triangle are same.

So, the distance between the orthocentre and the circumcentre of the triangle
with vertices (1, 2), (2, 1) andis 0.