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Category: Geometry

Question-180756

Question Number 180756 by mr W last updated on 16/Nov/22 Commented by mr W last updated on 17/Nov/22 $${the}\:{areas}\:{of}\:{three}\:{of}\:{the}\:{six}\:{squares} \\ $$$${are}\:{given}.\:{find}\:{the}\:{area}\:{of}\:{the}\:{shaded} \\ $$$${triangle}\:{and}\:{the}\:{areas}\:{of}\:{other}\:{three} \\ $$$${squares}.…

Question-180623

Question Number 180623 by cortano1 last updated on 14/Nov/22 Answered by HeferH last updated on 14/Nov/22 $$\left({R}\:+\:{r}\right)^{\mathrm{2}} =\:{r}^{\mathrm{2}} \:+\:\mathrm{4}{r}^{\mathrm{2}} \\ $$$$\:\frac{\mathrm{2}{r}}{{R}}\:=\:\frac{\mathrm{1}\:+\:\sqrt{\mathrm{3}}}{\mathrm{2}} \\ $$$$\: \\ $$…

Question-49536

Question Number 49536 by behi83417@gmail.com last updated on 07/Dec/18 Commented by behi83417@gmail.com last updated on 07/Dec/18 $$\bigtriangleup\:{and}\bigtriangleup\:{are}\:{equilateral}\:{triangles}\:{with} \\ $$$${parallel}\:{sides}\:{and}\:\boldsymbol{\mathrm{PM}},{is}\:{the}\:{same}\:{for} \\ $$$${all}\:{sides}.{if}:{area}\left(\bigtriangleup\right)=\mathrm{32}\:{and}\:{area}\left(\bigtriangleup\right)=\mathrm{6}, \\ $$$${then}:{valve}\:{of}\::\boldsymbol{\mathrm{PM}}=? \\ $$…

Question-49530

Question Number 49530 by behi83417@gmail.com last updated on 07/Dec/18 Commented by behi83417@gmail.com last updated on 07/Dec/18 $$\bigtriangleup\:{and}\:\bigtriangleup\:{are}\:{equilateral}\:{triangles}. \\ $$$${AB}=\mathrm{4},{EG}=\mathrm{2}\sqrt{\mathrm{2}}\:\:\:\left[{or}:{AB}=\mathrm{6},{EG}=\mathrm{2}\sqrt{\mathrm{6}}\right] \\ $$$$\Rightarrow\:\:\:\:\:{AE}=?\:\:\:\:,\:\:\:\:\:\measuredangle{AEI}=? \\ $$ Commented by…