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Category: Geometry

Question-222312

Question Number 222312 by ajfour last updated on 22/Jun/25 Answered by mr W last updated on 22/Jun/25 $${QC}={DC}={AB}=\mathrm{1} \\ $$$$\frac{\mathrm{1}}{{a}}=\frac{{a}}{\:\sqrt{{a}^{\mathrm{2}} +\mathrm{1}}} \\ $$$${a}^{\mathrm{4}} −{a}^{\mathrm{2}} −\mathrm{1}=\mathrm{0}…

Question-222176

Question Number 222176 by cherokeesay last updated on 19/Jun/25 Answered by mr W last updated on 19/Jun/25 $$\angle{B}=\beta \\ $$$$\angle{A}=\mathrm{2}\beta \\ $$$$\angle{C}=\pi−\mathrm{3}\beta \\ $$$$\frac{{a}}{\mathrm{sin}\:\mathrm{2}\beta}=\frac{{c}}{\mathrm{sin}\:\mathrm{3}\beta}=\frac{\mathrm{25}}{\mathrm{sin}\:\beta} \\…