The product of the Arithmetic mean of the length of the side of a triangle and harmonic mean of the lengths of the altitude of the triangle is equal to 2*( Area of Triangle)
2026-04-07 06:26:37.1775543197
Proof in Triangles
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$$\frac{a+b+c}{3}\cdot\frac{3}{\frac{1}{h_a}+\frac{1}{h_b}+\frac{1}{h_c}}=\frac{a+b+c}{\frac{a}{2S}+\frac{b}{2S}+\frac{c}{2S}}=2S$$