Question Number 57283 by ajfour last updated on 01/Apr/19 Commented by ajfour last updated on 01/Apr/19 $$\mathrm{Find}\:\mathrm{maximum}\:\mathrm{area}\:\mathrm{that}\:\mathrm{can}\:\mathrm{be} \\ $$$$\mathrm{cut}\:\mathrm{out}\:\mathrm{in}\:\mathrm{the}\:\mathrm{form}\:\mathrm{of}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{and} \\ $$$$\mathrm{rectangle}\:\mathrm{from}\:\mathrm{an}\:\mathrm{equilateral}\: \\ $$$$\mathrm{triangular}\:\mathrm{sheet}\:\mathrm{of}\:\mathrm{paper},\:\mathrm{edges}\:\mathrm{a}. \\ $$…
Question Number 188339 by normans last updated on 28/Feb/23 Answered by universe last updated on 28/Feb/23 $${ar}\left(\bigtriangleup{ABC}\right)\:=\:{ar}\left({ABD}\right)\:\:+\:\:{ar}\left({ADC}\right) \\ $$$${AB}.{AC}\mathrm{sin}\:\left(\alpha+\beta\right)\:=\:{AB}.{AD}\mathrm{sin}\left(\alpha\right)\:+\:{AD}.{AC}\mathrm{sin}\left(\beta\right) \\ $$$$\frac{\mathrm{sin}\left(\alpha+\beta\right)\:}{{AD}}\:=\:\frac{\mathrm{sin}\alpha\:}{{AC}}\:+\:\frac{\mathrm{sin}\beta\:}{{AB}}\: \\ $$$$\:\: \\ $$…
Question Number 188336 by normans last updated on 28/Feb/23 Answered by mr W last updated on 16/Mar/23 Commented by mr W last updated on 16/Mar/23…
Question Number 188320 by normans last updated on 27/Feb/23 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\boldsymbol{{if}}\:\boldsymbol{{the}}\:\boldsymbol{{on}}\:\bigtriangleup\boldsymbol{{ABC}},\: \\ $$$$\:\:\boldsymbol{{inner}}\:\boldsymbol{{circle}}\:\boldsymbol{{radius}}\:\boldsymbol{{and}}\:\boldsymbol{{outer}}\:\boldsymbol{{circle}}\:\boldsymbol{{radius}}\:\boldsymbol{{r}}\:\boldsymbol{{and}}\:\boldsymbol{{R}}\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\boldsymbol{{show}}\:\boldsymbol{{that}}; \\ $$$$\:\:\:\:\:\:\boldsymbol{{r}}\:=\:\mathrm{4}\boldsymbol{{R}}\:\boldsymbol{{sin}}\:\frac{\boldsymbol{{A}}}{\mathrm{2}}\:\centerdot\:\boldsymbol{{sin}}\:\frac{\boldsymbol{{B}}}{\mathrm{2}}\:\centerdot\:\boldsymbol{{sin}}\:\frac{\boldsymbol{{C}}}{\mathrm{2}} \\ $$$$ \\ $$ Answered by mr…
Question Number 188309 by normans last updated on 27/Feb/23 Commented by normans last updated on 27/Feb/23 $${angle}\:\boldsymbol{{x}}?? \\ $$ Answered by mr W last updated…
Question Number 188310 by normans last updated on 27/Feb/23 Commented by normans last updated on 27/Feb/23 $${yellow}\:{lenght}\left({x}\right)?? \\ $$ Answered by HeferH last updated on…
Question Number 188296 by Rupesh123 last updated on 27/Feb/23 Answered by HeferH last updated on 27/Feb/23 $$\mathrm{2}^{\mathrm{2}} \:=\:\mathrm{1}\centerdot{h}\:\Rightarrow\:{h}\:=\:\mathrm{4}\: \\ $$$$\:{h}^{\mathrm{2}} \:=\:\mathrm{2}{x} \\ $$$$\:\mathrm{16}\:=\:\mathrm{2}{x} \\ $$$$\:{x}\:=\:\mathrm{8}\:…
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Question Number 188278 by Rupesh123 last updated on 27/Feb/23 Answered by HeferH last updated on 27/Feb/23 Commented by HeferH last updated on 27/Feb/23 $$\frac{{b}}{\mathrm{4}}\:=\:\frac{\mathrm{12}}{{a}}\: \\…
Question Number 57198 by ajfour last updated on 31/Mar/19 Commented by ajfour last updated on 31/Mar/19 $$\mathrm{AF}=\mathrm{a}\:\:,\:\mathrm{DE}=\mathrm{b}\:. \\ $$ Commented by ajfour last updated on…