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Category: Geometry

Question-57186

Question Number 57186 by Tawa1 last updated on 31/Mar/19 Commented by kaivan.ahmadi last updated on 31/Mar/19 $$\begin{vmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{{a}\:\:\:\:\:\:\:\:\:\:{b}\:\:\:\:\:\:\:\:\:\:\:{c}}\\{{a}^{\mathrm{2}} \:\:\:\:\:\:\:\:{b}^{\mathrm{2}} \:\:\:\:\:\:{c}^{\mathrm{2}} }\end{vmatrix}\underset{−{a}^{\mathrm{2}} {R}_{\mathrm{1}} +{R}_{\mathrm{3}} } {\overset{−{aR}_{\mathrm{1}} +{R}_{\mathrm{2}}…

Question-188208

Question Number 188208 by Rupesh123 last updated on 26/Feb/23 Answered by a.lgnaoui last updated on 26/Feb/23 $$\measuredangle{ADB}=\mathrm{150}\:\:\Rightarrow\measuredangle{BCD}=\mathrm{30}\:\:\measuredangle{C}=\mathrm{120} \\ $$$$\bigtriangleup{ABC}\:\:\:\frac{\mathrm{sin}\:\mathrm{20}}{\mathrm{8}}=\frac{\mathrm{sin}\:\mathrm{60}}{{x}+{CD}}\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{1}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{CD}=\frac{\mathrm{8sin}\:\mathrm{60}}{\mathrm{sin}\:\mathrm{20}}−{x}\:\:\:\:\:\:\:\left(\mathrm{2}\right) \\ $$$$\bigtriangleup{BCD}\:\:\:\:\frac{\mathrm{sin}\:\mathrm{50}}{{CD}}=\frac{\mathrm{sin}\:\mathrm{30}}{\mathrm{8}}\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{3}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{CD}=\frac{\:\mathrm{8sin}\:\mathrm{50}}{\mathrm{sin}\:\mathrm{30}}\:\:\:\:\:\left(\mathrm{4}\right)\:\:\:\:\:\:\:…