MathDB

2007.9

Part of Ukraine Correspondence MO - geometry

Problems(1)

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

4/28/2021
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.
geometryperimetermingeometric inequalityequal anglesUkraine Correspondence