Category: Geometry

Question Number 162481 by mnjuly1970 last updated on 29/Dec/21 Answered by mr W last updated on 29/Dec/21 $${length}\:{of}\:{base}\:={h} \\ $$$$\mathrm{tan}\:\alpha=\frac{{b}}{{h}} \\ $$$$\mathrm{tan}\:\mathrm{2}\alpha=\frac{{b}+{a}}{{h}} \\ $$$$\mathrm{tan}\:\mathrm{3}\alpha=\frac{{b}+{a}+{x}}{{h}} \\…

Question Number 96920 by Power last updated on 05/Jun/20 Commented by mr W last updated on 05/Jun/20 $${too}\:{less}\:{info}\:\Rightarrow{no}\:{unique}\:{solution}! \\ $$ Commented by mr W last…

Question Number 31249 by Joel578 last updated on 04/Mar/18 $$\mathrm{2}\:\mathrm{lines}\:\mathrm{through}\:\mathrm{the}\:\mathrm{point}\:{A}\left(\mathrm{5},\:\mathrm{1}\right)\:\mathrm{are}\:\mathrm{tangent} \\ $$$$\mathrm{to}\:\mathrm{the}\:\mathrm{circle}\:{x}^{\mathrm{2}} \:+\:{y}^{\mathrm{2}} \:−\:\mathrm{4}{x}\:+\:\mathrm{6}{y}\:+\:\mathrm{4}\:=\:\mathrm{0} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{these}\:\mathrm{2}\:\mathrm{lines} \\ $$ Commented by Joel578 last updated on 04/Mar/18…

Question Number 162100 by amin96 last updated on 26/Dec/21 Commented by mr W last updated on 27/Dec/21 $$\boldsymbol{\mathrm{tan}}\:\boldsymbol{\alpha}=\frac{\mathrm{2}\left(\boldsymbol{{R}}−\boldsymbol{{r}}\right)}{\boldsymbol{{R}}+\boldsymbol{{r}}} \\ $$ Answered by mr W last…

Question Number 30933 by ajfour last updated on 28/Feb/18 Answered by mrW2 last updated on 28/Feb/18 Commented by mrW2 last updated on 01/Mar/18 $${Respect}!\:{You}\:{can}\:{still}\:{remember}\:{and} \\…