If the altitudes of a triangle all have the same length, must the triangle be equilateral? Why or why not?
Well, let the common length of the altitude be \(h\). Then, the length of each side is \(\frac{2K}{h}\) where K is the area, so it is equilateral.
Well, let the common length of the altitude be \(h\). Then, the length of each side is \(\frac{2K}{h}\) where K is the area, so it is equilateral.