Category: Geometry

Question Number 46889 by ajfour last updated on 02/Nov/18 Commented by ajfour last updated on 02/Nov/18 $$Q.46611\left(Alternateapproach\right)$$ Answered by ajfour last updated on…

Question Number 177910 by HeferH last updated on 11/Oct/22 Answered by mr W last updated on 11/Oct/22 Commented by mr W last updated on 11/Oct/22…

Question Number 112318 by Aina Samuel Temidayo last updated on 07/Sep/20 $$\mathrm{A}\mathrm{triangle}\mathrm{ABC}\mathrm{has}\mathrm{the}\mathrm{following}$$$$\mathrm{properties}\mathrm{BC}=1,\mathbf{AB}=\mathbf{AC}\mathrm{and}\mathrm{that}$$$$\mathrm{the}\mathrm{angle}\mathrm{bisector}\mathrm{from}\mathrm{vertex}\mathrm{B}\mathrm{is}$$$$\mathrm{also}\mathrm{a}\mathrm{median}.\mathrm{Find}\mathrm{all}\mathrm{possible}$$$$\mathrm{triangle}\left(\mathrm{s}\right)\mathrm{with}\mathrm{its}/\mathrm{their}$$$$\mathrm{side}-\mathrm{lengths}\mathrm{and}\mathrm{angles}.$$ Commented…

Question Number 112266 by Aina Samuel Temidayo last updated on 07/Sep/20 $$\mathrm{Let}\mathrm{\Omega }\mathrm{denote}\mathrm{the}\mathrm{circumcircle}\mathrm{of}\mathrm{ABC}.$$$$\mathrm{The}\mathrm{tangent}\mathrm{to}\mathrm{\Omega }\mathrm{at}\mathrm{A}\mathrm{meets}\mathrm{BC}\mathrm{at}\mathrm{X}.$$$$\mathrm{Let}\mathrm{the}\mathrm{angle}\mathrm{bisectors}\mathrm{of}\mathrm{\angle }\mathrm{AXB}\mathrm{meet}$$$$\mathrm{AC}\mathrm{and}\mathrm{AB}\mathrm{at}\mathrm{E}\mathrm{and}\mathrm{F}$$$$\mathrm{respectively}.\mathrm{D}\mathrm{is}\mathrm{the}\mathrm{foot}\mathrm{of}\mathrm{the}\mathrm{angle}$$$$\mathrm{bisector}\mathrm{from}\mathrm{\angle }\mathrm{BAC}\mathrm{on}\mathrm{BC}.\mathrm{Let}\mathrm{AD}$$$$\mathrm{intersect}\:\mathrm{EF}\:\mathrm{at}\:\mathrm{K}\:\mathrm{and}\:\Omega\:\mathrm{again}\:\mathrm{at} \…

Question Number 177769 by a.lgnaoui last updated on 08/Oct/22 $$determinerleselementsdemandes$$$$danslegraphe$$ Commented by a.lgnaoui last updated on 08/Oct/22 Commented by a.lgnaoui last…