Mathematics

Mathematics, 07.10.2021 05:10, franksjamia

The centers A, B, C of three congruent circles that have no common points do not lie on the same straight line. From points A, B, C, the six tangents shown in the figure are placed on the circles that enclose a convex hexagon. Prove: The sums of the lengths of three pairs of not immediately adjacent sides of this hexagon are equal, i. e. | PQ | + | RS | + | TU | = | QR | + | ST | + | UP |

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