Triangle with parameters: side a, side b, radius r

Construction :

1. Vector BC, |BC| = a.   2. Circle k1 with radius r, B Î k1, C Î k1   3. Circle k2 = (C; b).   4. k1 Ç k2 = A.

Conditions of solvability :

[(a Ł 2r) /\ (b < 2r)] \/ [(a < 2r) /\ (b Ł 2r)]

Number of solutions:   1, if is (a = 2r) \/ (b = 2r) \/ (a = b < 2r),   2, if is (a < 2r) \/ (b < 2r) \/ (a ą b).

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