If, in triangle , , , and are given and , then and are the two possible values of…

MATHEMATICS · Multi correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

If, in triangle ABCABC, aa, cc, and ∠A\angle A are given and csin⁡A<a<cc\sin A<a<c, then b1b_1 and b2b_2 are the two possible values of bb. (1) b1+b2=2ccos⁡Ab_1+b_2=2c\cos A (2) b1+b2=ccos⁡Ab_1+b_2=c\cos A (3) b1b2=c2−a2b_1b_2=c^2-a^2 (4) b1b2=c2+a2b_1b_2=c^2+a^2

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