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Let-ABCDE-be-an-equiangular-pentagon-whose-side-lengths-are-rational-numbers-Prove-that-the-pentagon-is-regular-




Question Number 16077 by Tinkutara last updated on 17/Jun/17
Let ABCDE be an equiangular  pentagon whose side lengths are  rational numbers. Prove that the  pentagon is regular.
$$\mathrm{Let}\:{ABCDE}\:\mathrm{be}\:\mathrm{an}\:\mathrm{equiangular} \\ $$$$\mathrm{pentagon}\:\mathrm{whose}\:\mathrm{side}\:\mathrm{lengths}\:\mathrm{are} \\ $$$$\mathrm{rational}\:\mathrm{numbers}.\:\mathrm{Prove}\:\mathrm{that}\:\mathrm{the} \\ $$$$\mathrm{pentagon}\:\mathrm{is}\:\mathrm{regular}. \\ $$

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