Category: Geometry

Question Number 211190 by mr W last updated on 30/Aug/24 Answered by A5T last updated on 31/Aug/24 $$Let\mathrm{\angle }BCD=\mathrm{\angle }CBD=\theta \Rightarrow \mathrm{\angle }DBA=90°-\theta$$$$\Rightarrow \mathrm{\angle }ADB=90°-\theta \Rightarrow \mathrm{\angle }DAB=2\theta$$$$\mathrm{\angle }BCA=\mathrm{\angle }CAB=45°\Rightarrow \mathrm{\angle }ACD=45°-\theta \Rightarrow ?=45°-2\theta$$$${Let}\:{CD}={BD}={x}\:{and}\:{AD}={AB}={BC}={y} \…

Question Number 211118 by behi834171 last updated on 28/Aug/24 Commented by mr W last updated on 28/Aug/24 Commented by mr W last updated on 28/Aug/24…

Question Number 211058 by mr W last updated on 27/Aug/24 Commented by mr W last updated on 27/Aug/24 $$findtheradiusRofthelargestsphere$$$$whichcanbeplacedbetweenthered$$$$andblueplanesinthefirstoctant.$$$${assume}\:\mathrm{0}<{p}\leqslant{a},\:\mathrm{0}<{q}\leqslant{b},\:\mathrm{0}<{r}\leqslant{c}.…

Question Number 211016 by mr W last updated on 26/Aug/24 Commented by mr W last updated on 26/Aug/24 $$findx=?$$$$$$$$theoriginalquestionwasdeletedby$$$${the}\:{questioner}\:{for}\:{some}\:{reasons}.…

Question Number 210935 by mr W last updated on 22/Aug/24 $$atwhattimes,ifexist,arethe$$$$anglesbetwenthehourhand,the$$$$minutehandandthesecondhand$$$$ofaclockexactly120°?$$$$assumethatthehandsoftheclock$$$$moveuniformly.$$ Answered by…