The Distance to the Orthocenter

OP

≈

1.06

2

×

OP

≈

2.13

AH

≈

2.13

In a triangle, twice the distance from the circumcenter O to a side equals the distance from the orthocenter H to the vertex opposite that side.

See theorem 195 in N. Altshiller-Court, College Geometry, Mineola, NY: Dover, 2007 p. 99.

Jay Warendorff