Category: Geometry

Question Number 193239 by Mingma last updated on 08/Jun/23 Answered by a.lgnaoui last updated on 08/Jun/23 $$\measuredangle \mathrm{B}=180-110=70$$$$△\mathrm{ABE}\measuredangle \mathrm{AEB}=180-120=60$$$$△\mathrm{ACE}\measuredangle \mathrm{AEC}=180-60=120$$$$$$$$\bigtriangleup\mathrm{ABC}\:\:\:\frac{\mathrm{sin}\:\mathrm{40}}{\mathrm{AB}}=\frac{\mathrm{sin}\:\mathrm{70}}{\mathrm{BC}}…

Question Number 193162 by ajfour last updated on 05/Jun/23 Commented by ajfour last updated on 05/Jun/23 $$Determine\frac{r}{R}intermsof0<m<1.$$ Commented by York12 last updated on…

Question Number 65491 by mr W last updated on 30/Jul/19 Commented by mr W last updated on 30/Jul/19 $$\left[Q65312reposted\right]$$$$findx=?$$ Answered by…

Question Number 65366 by Tawa1 last updated on 29/Jul/19 Commented by Prithwish sen last updated on 29/Jul/19 $$\mathrm{the}\mathrm{length}\mathrm{is}$$$$=\:\mathrm{3}\:+\:\mathrm{2}×\mathrm{2}\:+\mathrm{2}×\frac{\mathrm{2}^{\mathrm{2}} }{\mathrm{3}}\:+\:\mathrm{2}×\frac{\mathrm{2}^{\mathrm{3}} }{\mathrm{3}^{\mathrm{2}} }\:+\:\mathrm{2}×\frac{\mathrm{2}^{\mathrm{4}} }{\mathrm{3}^{\mathrm{3}} }\:+\:…….…

Question Number 65334 by Tawa1 last updated on 28/Jul/19 Answered by mr W last updated on 28/Jul/19 $$\mathrm{\angle }D=360-126-42\times 2=150°$$$$\frac{DC}{\sin x}=\frac{AC}{\sin 150}$$$$\Rightarrow DC=\frac{\sin x}{\sin 150}\times AC$$$$\frac{{AC}}{\mathrm{sin}\:\mathrm{126}}=\frac{{AB}}{\mathrm{sin}\:\left[\mathrm{42}−\left(\mathrm{30}−{x}\right)\right]}=\frac{{AB}}{\mathrm{sin}\:\left({x}+\mathrm{12}\right)} \…