Δ ABC - echilateral
AM - mediana
=> AM - inaltime
Δ ABC - echilateral
BP - inaltime
=> BP - mediana
Δ ABC - echilateral => AB = BC = AC
M - mij. [ BC ] => BM = MC = BC/2
P - mij. [ AC ] => AP = PC = AC/2
=> PC = MC ( 1 )
BP ∩ AM = {O} => OP = BP/3
=> OM = AM/3
Δ ABC - echilateral => AM = BP
=> OP = OM ( 2 )
Δ POC ; ΔMOC = { m (M) = m (P) (90°)
{ PC = MC ( 1 )
{ OP = OM ( 2 )
=> ΔPOC ≅ ΔMOC ( prin cazul L.U.L. sau C.C.)
Coroana?