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Category: Geometry

Question-148540

Question Number 148540 by Jonathanwaweh last updated on 29/Jul/21 Answered by Olaf_Thorendsen last updated on 29/Jul/21 $$\mathrm{Formule}\:\mathrm{d}'\mathrm{Al}−\mathrm{Kashi}\:\left(\mathrm{generalisation}\right. \\ $$$$\mathrm{de}\:\mathrm{Pythagore}\:\mathrm{dans}\:\mathrm{un}\:\mathrm{triangle} \\ $$$$\left.\mathrm{quelconque}\right)\:: \\ $$$${c}^{\mathrm{2}} \:=\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}}…

Between-2-00-and-2-15-what-time-is-it-exactly-when-the-hour-minute-and-second-s-hand-of-a-clock-occupy-the-same-angular-position-

Question Number 17449 by ajfour last updated on 06/Jul/17 $$\mathrm{Between}\:\mathrm{2}:\mathrm{00}\:\mathrm{and}\:\mathrm{2}:\mathrm{15},\:\mathrm{what}\:\mathrm{time} \\ $$$$\mathrm{is}\:\mathrm{it}\:\mathrm{exactly}\:\mathrm{when}\:\mathrm{the}\:\mathrm{hour}, \\ $$$$\mathrm{minute},\:\mathrm{and}\:\mathrm{second}'\mathrm{s}\:\mathrm{hand}\:\mathrm{of}\:\mathrm{a} \\ $$$$\mathrm{clock}\:\mathrm{occupy}\:\mathrm{the}\:\mathrm{same}\:\mathrm{angular} \\ $$$$\mathrm{position}. \\ $$$$ \\ $$ Commented by mrW1…

3x-4y-0-4y-5z-0-5z-3x-0-then-x-y-z-is-AP-GP-HP-AGP-

Question Number 17440 by virus last updated on 05/Jul/17 $$\mathrm{3}{x}−\mathrm{4}{y}=\mathrm{0},\mathrm{4}{y}−\mathrm{5}{z}=\mathrm{0},\mathrm{5}{z}−\mathrm{3}{x}=\mathrm{0} \\ $$$${then}\:{x},{y},{z}\:{is}\:{AP},{GP},{HP},{AGP}?????? \\ $$ Answered by sushmitak last updated on 06/Jul/17 $$\frac{{x}}{{y}}=\frac{\mathrm{4}}{\mathrm{3}}={k},\frac{{y}}{{z}}=\frac{\mathrm{5}}{\mathrm{4}} \\ $$$${x}=\mathrm{4}{k} \\…

Find-the-point-in-interior-of-a-convex-quadrilateral-such-that-the-sum-of-its-distances-to-the-4-vertices-is-minimal-Find-the-point-in-interior-of-a-convex-quadrilateral-such-that-the-sum-of-its-dis

Question Number 17373 by mrW1 last updated on 04/Jul/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{point}\:\mathrm{in}\:\mathrm{interior}\:\mathrm{of}\:\mathrm{a}\:\mathrm{convex} \\ $$$$\mathrm{quadrilateral}\:\mathrm{such}\:\mathrm{that}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{its} \\ $$$$\mathrm{distances}\:\mathrm{to}\:\mathrm{the}\:\mathrm{4}\:\mathrm{vertices}\:\mathrm{is}\:\mathrm{minimal}. \\ $$$$ \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{point}\:\mathrm{in}\:\mathrm{interior}\:\mathrm{of}\:\mathrm{a}\:\mathrm{convex} \\ $$$$\mathrm{quadrilateral}\:\mathrm{such}\:\mathrm{that}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{its} \\ $$$$\mathrm{distances}\:\mathrm{to}\:\mathrm{the}\:\mathrm{4}\:\mathrm{sides}\:\mathrm{is}\:\mathrm{minimal}. \\ $$ Answered…