Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 66
the required triangle is isoseeles. If a < b, then by Geometry A < B, and A must be acutein order that the trianglemay be possible. If A isacute, it is evident fromFig. 33, where Z BA C=A,AC=b, CB = CB=a,that the two triangles A CBand ACB will satisfy thegiven conditions, provideda is greater… … B Fig. 33. formula sin B = 6 sin A If, however, a = l sin A = CP (Fig. 33), then sini?=l, B = 90°, and the triangle required is a. right triangle. If a < b sin A, that is, < CB, then sin B > 1, and the tri-angle is impossible. These results, for convenience, may be thus stated: If a >…
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