Category: Geometry

Question Number 17580 by b.e.h.i.8.3.417@gmail.com last updated on 08/Jul/17 Commented by b.e.h.i.8.3.417@gmail.com last updated on 08/Jul/17 $$triangleABC,isgivenwith:$$$$AB=c,BC=a,AC=b$$$$redlines,areperpendicularbisectors$$$$ofsides.$$$$\left.\mathrm{1}\right){find}\:{radius}\:{of}\:{a}\:{circle}\:{that}\:{passes}…

Question Number 17524 by 786 last updated on 07/Jul/17 $$\mathrm{The}\mathrm{circle}\omega \mathrm{touches}\mathrm{the}\mathrm{circle}\mathrm{\Omega }$$$$\mathrm{internally}\mathrm{at}P.\mathrm{The}\mathrm{centre}O\mathrm{of}\mathrm{\Omega }\mathrm{is}$$$$\mathrm{outside}\omega .\mathrm{Let}XY\mathrm{be}\mathrm{a}\mathrm{diameter}\mathrm{of}\mathrm{\Omega }$$$$\mathrm{which}\mathrm{is}\mathrm{also}\mathrm{tangent}\mathrm{to}\omega .\mathrm{Assume}$$$$PY>PX.\mathrm{Let}PY\mathrm{intersect}\omega \mathrm{at}Z.\mathrm{If}$$$$YZ=2PZ,\mathrm{what}\mathrm{is}\mathrm{the}\mathrm{magnitude}\mathrm{of}$$$$\mathrm{\angle }PYX\mathrm{in}\mathrm{degrees}?$$ Answered…

Question Number 83032 by Power last updated on 27/Feb/20 Answered by mr W last updated on 27/Feb/20 Commented by mr W last updated on 27/Feb/20…

Question Number 148552 by cherokeesay last updated on 29/Jul/21 Commented by Tawa11 last updated on 29/Jul/21 $$\mathrm{good}$$ Commented by cherokeesay last updated on…

Question Number 148532 by cherokeesay last updated on 28/Jul/21 Answered by mr W last updated on 29/Jul/21 Commented by mr W last updated on 29/Jul/21…