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If z1, z2, z3 and z1', z2' , z3' represent the vertices of two similar triangles

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If z1, z2, z3 and z1', z2' , z3' represent the vertices of two similar triangles ABC and PQR respectively then prove that |z'1 bar/(z2 - z1) bar| . |z2 - z3/z'3| + |z'2/z2 - z1| . |bar (z3 - z1)/z3| ≥ 1  

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AB/BC = CA/PQ = QR/RP

From rotation theorem

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