Maximizing with an Orthic Condition

Level pending

A triangle \(ABC\) with sidelengths \(a,b,c\) and circumradius \(R\) has the property that its medial triangle is congruent to its orthic triangle.

What is the minimum possible value of \(\dfrac{a^2+b^2+c^2}{R^2}\)?

×

Problem Loading...

Note Loading...

Set Loading...