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Category: Geometry

Question-39508

Question Number 39508 by behi83417@gmail.com last updated on 06/Jul/18 Commented by behi83417@gmail.com last updated on 06/Jul/18 $${R}\boldsymbol{{ight}}\:\boldsymbol{{angele}}:\boldsymbol{{A}}\overset{\bigtriangleup} {\boldsymbol{{B}A}}',\left(\measuredangle\boldsymbol{{B}}=\mathrm{90}^{\bullet} \right)\:\boldsymbol{{is}} \\ $$$$\boldsymbol{{given}}. \\ $$$$\boldsymbol{{red}}\:\boldsymbol{{lines}}\:\boldsymbol{{are}}\:\boldsymbol{{angular}}\:\boldsymbol{{bisectors}}\:\boldsymbol{{of}} \\ $$$$\measuredangle\boldsymbol{{A}},\measuredangle\boldsymbol{{A}}'.…

find-the-greatest-possible-square-insribed-in-a-triangle-with-sides-a-b-c-

Question Number 39458 by MJS last updated on 06/Jul/18 $$\mathrm{find}\:\mathrm{the}\:\mathrm{greatest}\:\mathrm{possible}\:\mathrm{square}\:\mathrm{insribed}\:\mathrm{in} \\ $$$$\mathrm{a}\:\mathrm{triangle}\:\mathrm{with}\:\mathrm{sides}\:{a}\:{b}\:{c} \\ $$ Commented by MJS last updated on 06/Jul/18 $$\mathrm{the}\:\mathrm{side}\:{s}\:\mathrm{of}\:\mathrm{the}\:\mathrm{square}\:\mathrm{not}\:\mathrm{necessarily}\:\mathrm{on} \\ $$$$\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{the}\:\mathrm{triangle} \\…

Question-39365

Question Number 39365 by behi83417@gmail.com last updated on 05/Jul/18 Commented by behi83417@gmail.com last updated on 05/Jul/18 $$\boldsymbol{{triangle}}\:\boldsymbol{{A}}\overset{\blacktriangle} {\boldsymbol{{B}C}},\boldsymbol{{is}}\:\boldsymbol{{given}}. \\ $$$$\boldsymbol{{A}}\overset{\blacktriangle} {\boldsymbol{{N}B}},\boldsymbol{{A}}\overset{\blacktriangle} {\boldsymbol{{G}C}},\boldsymbol{{B}}\overset{\blacktriangle} {\boldsymbol{{J}C}},\boldsymbol{{are}}\:\boldsymbol{{isoscale}} \\ $$$$\boldsymbol{{triangles}}\:\boldsymbol{{with}}:…

Question-39349

Question Number 39349 by ajfour last updated on 05/Jul/18 Commented by MrW3 last updated on 08/Jul/18 $${Find}\:{the}\:{radius}\:{of}\:{circle}\:{which} \\ $$$${divides}\:{the}\:{perimeter}\:{of}\:{the}\:{ellipse} \\ $$$${into}\:\mathrm{4}\:{equal}\:{segments}. \\ $$ Answered by…