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min perimeter, triangle with integer sidelengths, <B = 2 <А, <C > 90^o

Source: 2007 All-Ukrainian Correspondence MO of magazine ''In the World of Mathematics'', grades 5-11 p9

April 28, 2021
geometryperimetermingeometric inequalityequal anglesUkraine Correspondence

Problem Statement

In triangle ABCABC, the lengths of all sides are integers, ∠B=2∠A\angle B=2 \angle A and ∠C>90o\angle C> 90^o. Find the smallest possible perimeter of this triangle.
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