Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 61
isisosceles.If a < b, then by Geometry A < B, and A must be acute inorder that the triangle-may be possible. If A is acute, itis evident from Fig. 61,whexeZBAC = A,AC = b,CB = CB = a, that the twotriangles ACB and ACBwill satisfy the given condi-tions, provided a is greaterthan the… … Fig. 61 sin B = b sin A If, however, a = b sin A = CP (Fig. 61), then sin B = l,B = 90°, and the triangle required is a right triangle. If a < b sin A, that is, < CP, then sin B > 1, and the tri-angle is impossible. THE OBLIQUE TRIANGLE 73 These results, for convenience, may be thus…
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