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Category: Geometry

Question-73828

Question Number 73828 by ajfour last updated on 16/Nov/19 Commented by ajfour last updated on 17/Nov/19 $${If}\:{on}\:{each}\:{face}\:{of}\:{the}\:{larger}\:{cube} \\ $$$${there}\:{is}\:\left({at}\:{least}\right)\:{one}\:{corner}\:{of}\: \\ $$$${the}\:{inner}\:{cube},\:{then} \\ $$$${find}\:{minimum}\:{value}\:{of}\:{ratio}\:{r}. \\ $$$$\:{r}=\frac{{s}}{{a}}\:=\:\frac{{edge}\:{length}\:{of}\:{inner}\:{cube}}{{edge}\:{length}\:{of}\:{outer}\:{cube}}\:.…

Please-draw-the-shape-and-find-the-angles-QR-6-cm-RS-7-cm-PS-4-cm-

Question Number 73800 by TawaTawa last updated on 15/Nov/19 $$\mathrm{Please}\:\mathrm{draw}\:\mathrm{the}\:\mathrm{shape}\:\mathrm{and}\:\mathrm{find}\:\mathrm{the}\:\mathrm{angles} \\ $$$$\mathrm{QR}\:\:\:=\:\:\mathrm{6}\:\:\mathrm{cm} \\ $$$$\mathrm{RS}\:\:\:=\:\:\mathrm{7}\:\mathrm{cm} \\ $$$$\mathrm{PS}\:\:=\:\:\mathrm{4}\:\mathrm{cm} \\ $$ Commented by mr W last updated on…

Given-a-convex-hexagon-ABCDEG-satisfy-AB-BC-CD-DE-EF-FA-Suppose-ACE-is-a-right-triangle-BC-BE-DE-DA-FA-FC-min-

Question Number 139254 by mathdanisur last updated on 25/Apr/21 $${Given}\:{a}\:{convex}\:{hexagon}\:{ABCDEG} \\ $$$${satisfy}:\:{AB}={BC},\:{CD}={DE},\:{EF}={FA}. \\ $$$${Suppose}\:\bigtriangleup{ACE}\:{is}\:{a}\:{right}\:{triangle}. \\ $$$$\left(\frac{{BC}}{{BE}}+\frac{{DE}}{{DA}}+\frac{{FA}}{{FC}}\right)_{\boldsymbol{{min}}} =? \\ $$ Answered by mr W last updated…