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Category: Geometry

Question-38775

Question Number 38775 by ajfour last updated on 29/Jun/18 Commented by ajfour last updated on 29/Jun/18 $${On}\:{a}\:{segment}\:{of}\:{length}\:\boldsymbol{{c}}\:,\:{is}\:{kept} \\ $$$${a}\:{unit}\:{square},\:{overhanging}\:{a}\:{little}; \\ $$$${such}\:{that}\:\left({see}\:{diagram}\right). \\ $$$${Find}\:{the}\:{length}\:{of}\:{segment}\:\boldsymbol{{c}} \\ $$$${under}\:{the}\:{bottom}\:{edge}\:{of}\:{square}.…

Question-104101

Question Number 104101 by ajfour last updated on 19/Jul/20 Commented by ajfour last updated on 19/Jul/20 $${If}\:{the}\:{outer}\:{triangle}\:{is}\:{equilateral}, \\ $$$${and}\:{the}\:{two}\:{ellipses}\:{of}\:{same}\:{size} \\ $$$${and}\:{shape},\:{find}\:{ratio}\:{of}\:{area}\:{of} \\ $$$${outer}\:{triangle}\:{to}\:{inner}\left({blue}\right) \\ $$$${triangle}.…

Question-169572

Question Number 169572 by mnjuly1970 last updated on 03/May/22 Answered by mr W last updated on 03/May/22 $${EO}={OC}=\mathrm{1},\:{say} \\ $$$$\angle{HOC}=\angle{AOE}=\angle{B} \\ $$$${AE}=\mathrm{1}×\mathrm{tan}\:{B} \\ $$$$\mathrm{tan}\:{A}=\frac{{EC}}{{AE}}=\frac{\mathrm{2}}{\mathrm{1}×\mathrm{tan}\:{B}} \\…