{"id":"sorted-triangle-single-inequality","text":"When sides are sorted descending (`a >= b >= c`), only `a < b + c` needs explicit testing — the other two triangle inequalities hold automatically.","truth_value":"IN","source":"entries/2026/06/06/largest-perimeter-triangle-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"sorted-triangle-single-inequality","truth_value":"IN","reason":"premise"}]}}