Does anyone know what the distance between the circumcenter and orthocenter of a isosceles triangle is?

Guest Nov 26, 2017

#1**+2 **

If the length of the base of an isosceles triangle is 'a' and the length of each of the two congruent sides is 'b', then the distance between the orthocenter (the point of intersection of the altitudes) and the circumcenter (the point of intersection of the perpendicular bisectors of the sides) can be found using the formula: | (b^{2} - a^{2}) / sqrt( 4·b^{2} - a^{2} ) |.

I calculated this formula using analytic geometry.

geno3141
Nov 27, 2017