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Syllabus

Q. In the ambiguous case, if b and A are given and ${c}_{1},{c}_{2}$ are two possible values of the third side, prove that ${\left({c}_{1}-{c}_{2}\right)}^{2}+{\left({c}_{1}+{c}_{2}\right)}^{2}{\mathrm{tan}}^{2}A=4{a}^{2}$

AD , BE, CF are the perpendiculars from the angular points of a triangle ABC upon the opposite sides . the perimeter of the triangle DEF and triangle ABC are in the ratio -1]2r/R

2]r/2R

3]r/R

4]r/3R

^{o}then find length BC.^{}b^{2}-c^{2}dividedby a^{2}=sin(B-C) divided by sin(B+C)