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Category: Geometry

Question-172195

Question Number 172195 by cherokeesay last updated on 24/Jun/22 Answered by som(math1967) last updated on 24/Jun/22 $${let}\:{side}\:{of}\:{biggest}\:{square}={rad}.\:{of} \\ $$$${quarter}\:{circle}\:={r}\:{unit} \\ $$$$\therefore\:{AB}={AL}={r} \\ $$$$\therefore\:{side}\:{of}\:{S}_{\mathrm{2}} =\frac{{r}}{\:\sqrt{\mathrm{2}}} \\…

Question-172144

Question Number 172144 by mnjuly1970 last updated on 23/Jun/22 Answered by infinityaction last updated on 23/Jun/22 Commented by infinityaction last updated on 23/Jun/22 $$\:\:\:\mathrm{cos}\alpha\:=\:\frac{\mathrm{2}}{{r}}\:\:\:{and}\:\:\:\:\mathrm{sin}\alpha\:\:=\:\:\frac{{r}}{\mathrm{6}}\: \\…

Question-41038

Question Number 41038 by Tawa1 last updated on 31/Jul/18 Commented by tanmay.chaudhury50@gmail.com last updated on 31/Jul/18 $$\left.{about}\:{question}\:{number}\:\mathrm{25}\right) \\ $$$${there}\:{is}\:{eight}\:{corner}…{at}\:{each}\:{corner}\:{three}\:{face} \\ $$$${merge}…{number}\:{at}\:{any}\:{corner}\:{share}\:{by}\:{three} \\ $$$${face}..{target}\:{to}\:{find}\:{sum}\:{of}\:{four}\:{number}\:{such} \\ $$$${that}\:{each}\:{face}\:{give}\:{same}\:{value}…{the}\:{sumtotal}…

Question-41027

Question Number 41027 by behi83417@gmail.com last updated on 31/Jul/18 Answered by MJS last updated on 01/Aug/18 $${A}={B}\:\wedge\:{a}={b} \\ $$$$\mathrm{2}{a}\mathrm{tan}\:{A}={c}\mathrm{tan}\left(\pi−\mathrm{2}{A}\right) \\ $$$$\mathrm{2}{a}\mathrm{tan}\:{A}=−{c}\mathrm{tan}\:\mathrm{2}{A} \\ $$$$\mathrm{let}\:\mathrm{c}=\mathrm{1} \\ $$$$−\mathrm{2}{a}=\frac{\mathrm{tan}\:\mathrm{2}{A}}{\mathrm{tan}\:{A}}…

Question-172062

Question Number 172062 by cortano1 last updated on 23/Jun/22 Answered by kapoorshah last updated on 23/Jun/22 $${s}\:=\:\frac{\mathrm{10}\:+\:\mathrm{14}\:+\:\mathrm{16}}{\mathrm{2}} \\ $$$$\:\:\:=\:\mathrm{20} \\ $$$$ \\ $$$${r}\:=\:\sqrt{\frac{\left(\mathrm{20}\:−\:\mathrm{10}\right)\left(\mathrm{20}\:−\:\mathrm{14}\right)\left(\mathrm{20}\:−\:\mathrm{16}\right)}{\mathrm{20}}} \\ $$$$\:\:\:=\:\mathrm{2}\sqrt{\mathrm{3}}…

Question-40948

Question Number 40948 by behi83417@gmail.com last updated on 30/Jul/18 Commented by MJS last updated on 30/Jul/18 $${B}−{C}=\mathrm{2}{A}\:\Rightarrow\:{C}={B}−\mathrm{2}{A} \\ $$$${A}+{B}+{C}=\mathrm{180}°\:\Rightarrow\:{C}=\mathrm{180}°−{A}−{B} \\ $$$${B}−\mathrm{2}{A}=\mathrm{180}°−{A}−{B}\:\Rightarrow\:{A}=\mathrm{2}{B}−\mathrm{180}° \\ $$$$\Rightarrow\:{C}=\mathrm{360}°−\mathrm{3}{B} \\ $$$$…