How can I algebraically construct a formula for the rotation of an obtuse triangle by its orthocenter on the Cartesian plane?

Answer 1

A triangle is labeled α(alpha) smallest angle.

β(beta) mid size

γ(gamma) biggest

"a" shortest side

"b" mid

"c" longest (hypotenuse)

Draw a perpendicular line to each side from each angle. They'll intersect.