Question Number 228316 by fantastic2 last updated on 06/Apr/26 Commented by fantastic2 last updated on 06/Apr/26 $$\measuredangle{COD}=\mathrm{40}^{\mathrm{0}} \\ $$$$\angle{CED}=? \\ $$ Commented by mr W…
Question Number 228092 by Mingma last updated on 17/Mar/26 Answered by A5T last updated on 18/Mar/26 $$\mathrm{WLOG},\:\mathrm{let}\:\mathrm{H}=\left(\mathrm{0},\mathrm{0}\right)\:\mathrm{be}\:\mathrm{the}\:\mathrm{origin}\:\mathrm{and}\:\mathrm{let}\:\mathrm{AD}\: \\ $$$$\mathrm{coincide}\:\mathrm{with}\:\mathrm{the}\:\mathrm{y}-\mathrm{axis}\:\mathrm{such}\:\mathrm{that}\:\mathrm{A}=\left(\mathrm{0},\mathrm{1}\right)\:\mathrm{and} \\ $$$$\mathrm{D}=\left(\mathrm{0},−\mathrm{r}\right).\:\mathrm{Then}\:\mathrm{I}=\frac{\mathrm{A}+\mathrm{H}}{\mathrm{2}}=\left(\frac{\mathrm{0}+\mathrm{0}}{\mathrm{2}},\frac{\mathrm{0}+\mathrm{1}}{\mathrm{2}}\right)\:=\left(\mathrm{0},\frac{\mathrm{1}}{\mathrm{2}}\right) \\ $$$$\mathrm{Let}\:\mathrm{M}=\left(\mathrm{0},\mathrm{m}\right);\mathrm{BC}\bot\mathrm{AD}\:\Rightarrow\:\mathrm{B}=\left(\mathrm{b},−\mathrm{r}\right)\:\mathrm{and}\:\mathrm{C}=\left(\mathrm{c},−\mathrm{r}\right) \\ $$$$\overset{\rightarrow}…
Question Number 228013 by Mingma last updated on 09/Mar/26 Answered by A5T last updated on 14/Mar/26 $$\mathrm{WLOG},\:\mathrm{let}\:\mathrm{AB}=\mathrm{1}\:\mathrm{and}\:\mathrm{BC}=\mathrm{x}\:;\:\mathrm{then}\:\mathrm{AC}=\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{1}} \\ $$$$\bigtriangleup\mathrm{CBD}\approx\bigtriangleup\mathrm{CAB}\Rightarrow\frac{\mathrm{BC}}{\mathrm{AC}}=\frac{\mathrm{DC}}{\mathrm{BC}}\:\Rightarrow\mathrm{DC}=\frac{\mathrm{x}^{\mathrm{2}} }{\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}} \\ $$$$\mathrm{BD}=\sqrt{\mathrm{x}^{\mathrm{2}} −\frac{\mathrm{x}^{\mathrm{4}}…
Question Number 228009 by Mingma last updated on 09/Mar/26 Answered by fantastic2 last updated on 09/Mar/26 Commented by fantastic2 last updated on 09/Mar/26 $$\angle{OAB}=\mathrm{20}^{\mathrm{0}} \Rightarrow\angle{AOB}=\mathrm{140}^{\mathrm{0}}…
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Question Number 224608 by fantastic last updated on 21/Sep/25 Commented by fantastic last updated on 21/Sep/25 $$\measuredangle{EFD}=? \\ $$ Answered by som(math1967) last updated on…
Question Number 224324 by fantastic last updated on 03/Sep/25 Answered by fantastic last updated on 03/Sep/25 Commented by fantastic last updated on 05/Sep/25 $${Area}\:{EFHJ}={AGHJE}−{AGHF}−{AEF} \\…
Question Number 224282 by fantastic last updated on 31/Aug/25 Commented by fantastic last updated on 31/Aug/25 $${ABCD}\:{is}\:{a}\:{square}. \\ $$$${What}\:{is}\:{the}\:{total}\:{area}\:{of}\: \\ $$$${two}\:{semicircles} \\ $$ Answered by…
Question Number 224255 by fantastic last updated on 30/Aug/25 Commented by fantastic last updated on 30/Aug/25 $$\bigtriangleup{ABC}=? \\ $$ Commented by fantastic last updated on…
Question Number 224176 by fantastic last updated on 23/Aug/25 Commented by fantastic last updated on 23/Aug/25 $${whats}\:{the}\:{green}\:{area}? \\ $$$$ \\ $$$${please}\:{give}\:{me}\:{a}\:{detailed}\:{solution}\: \\ $$ Answered by…