The Ratio of a Side of a Triangle to the Corresponding Side of the Orthic Triangle

show R

AC

×

OB''

≈

0.37

AB

×

OC''

≈

0.84

BC

×

OA''

≈

0.97

R

×

A'C'

≈

0.37

R

×

A'B'

≈

0.84

R

×

B'C'

≈

0.97

The ratio of a side of a triangle to the corresponding side of the orthic triangle is equal to the ratio of the circumradius to the distance from the side to the circumcenter. For example,

AB/A'B'=R/OC''

.