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Category: Geometry

Question-15969

Question Number 15969 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 16/Jun/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 16/Jun/17 3circleshavethesamecenterpoint.thereisaequilateraltriangle,suchthatanyvertexlocatedononecircleasshowen.1)howcanwedrawsuchtriangle?$$\left.\mathrm{2}\right){find}\:{area}\:{of}\:{this}\:{triangle}\:{in}\:{terms}\:{of}…

Question-15917

Question Number 15917 by mrW1 last updated on 15/Jun/17 Commented by mrW1 last updated on 15/Jun/17 E,F,G,HaremidpointsofthesidesofaconvexquadrilateralABCD.L,Karemidpointsofthediagonals.ProvethatEG,FH,LKintersectatthe$$\mathrm{same}\:\mathrm{point}\:\mathrm{J}\:\:\mathrm{and}\:\mathrm{J}\:\mathrm{is}\:\mathrm{the}\:\mathrm{mid}−\mathrm{point}\:\mathrm{of}\:\:\mathrm{them}.…

Question-15908

Question Number 15908 by mrW1 last updated on 15/Jun/17 Commented by mrW1 last updated on 15/Jun/17 Oneachsideofatriangleanequilateraltriangleisconstructed.Thecentroidsofthesetrianglesformanewtriangle.Provethatthenewtriangleisequilateral.$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{its}\:\mathrm{sides}\:\mathrm{if}\:\mathrm{the}…