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Omni-MATH / In triangle ABC , angle A is twice angle B , angle C is obtuse , and the three side lengths a,b,c are integers. Determine, with proof, the minimum possible perimeter .

Problem

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problem

In triangle ABCABC , angle AA is twice angle BB , angle CC is obtuse , and the three side lengths a,b,ca, b, c are integers. Determine, with proof, the minimum possible perimeter .
Plain-text mathematical notation (without MathML)
In triangle ABC , angle A is twice angle B , angle C is obtuse , and the three side lengths a,b,c are integers.  Determine, with proof, the minimum possible perimeter .
Original LaTeX notation
In triangle $ABC$ , angle $A$ is twice angle $B$ , angle $C$ is obtuse , and the three side lengths $a, b, c$ are integers.  Determine, with proof, the minimum possible perimeter .

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Source and history

task_id
4cc0816b-969d-5248-8e1d-7325a856ea0c
task_key
test--4cc0816b-969d-5248-8e1d-7325a856ea0c
task_revision_id
1
config / split
/ test

Official source

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