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Find all such that there is at least one triangle which can be cut into congruent triangles.
Source: erdosproblems.com/634
No claim settles this problem.
Open. The site labels the problem OPEN (page last edited 30 December 2025) and has adopted none of the claims below. Its proof-claims thread carries two partial claims, posted 17 and 24 July 2026; seven further partial claims come from the literature the site's remarks credit and from manuscripts posted elsewhere, each with a claim page below.