Question Number 14940 by mrW1 last updated on 05/Jun/17 $${For}\:{those}\:{who}\:{are}\:{interested}\:{in}\: \\ $$$${Geometry}:\: \\ $$$${A}\:{triangle}\:{has}\:{an}\:{area}\:{of}\:\mathrm{1}\:{unit}.\:{Each} \\ $$$${of}\:{its}\:{sides}\:{is}\:{divided}\:{into}\:\mathrm{4}\:{equal}\:{parts} \\ $$$${through}\:\mathrm{3}\:{points}.\:{The}\:{first}\:{and}\:{the}\:{last} \\ $$$${point}\:{of}\:{each}\:{side}\:{will}\:{be}\:{connected} \\ $$$${with}\:{each}\:{other}\:{to}\:{form}\:\mathrm{2}\:{inscribed} \\ $$$${triangles}\:{and}\:{these}\:\mathrm{2}\:{triangles}\:{form} \\…
Question Number 80477 by Power last updated on 03/Feb/20 Commented by Power last updated on 03/Feb/20 $$\left.\mathrm{A}\left.\right)\frac{\mathrm{3}\sqrt{\mathrm{3}}+\mathrm{52}}{\mathrm{32}}\:\pi\mathrm{d}^{\mathrm{3}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{B}\right)\frac{\mathrm{3}\sqrt{\mathrm{3}}+\mathrm{52}}{\mathrm{16}}\:\pi\mathrm{d}^{\mathrm{3}} \\ $$$$\left.\mathrm{C}\left.\right)\frac{\mathrm{3}\sqrt{\mathrm{3}}+\mathrm{30}}{\mathrm{16}}\:\pi\mathrm{d}^{\mathrm{3}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{D}\right)\frac{\mathrm{3}\sqrt{\mathrm{3}}+\mathrm{12}}{\mathrm{64}}\:\pi\mathrm{d}^{\mathrm{3}} \\ $$ Commented by…
Question Number 146000 by mnjuly1970 last updated on 10/Jul/21 Commented by mr W last updated on 10/Jul/21 $${i}\:{think}\:{the}\:{area}\:{of}\:\Delta{ABC}\:{can}'{t}\:{be}\: \\ $$$${uniquely}\:{determined}\:{with}\:{the}\:{given}\: \\ $$$${condition}.\:{please}\:{recheck}. \\ $$ Commented…
Question Number 14905 by ajfour last updated on 05/Jun/17 Commented by ajfour last updated on 05/Jun/17 $${Q}.\:\mathrm{14797}\:\left({construction}\:{method}\right) \\ $$$${given}\:{DE}={a},\:\:{EB}={b}\:;\:{find} \\ $$$${Area}\:{of}\:\bigtriangleup{AEC}. \\ $$$$ \\ $$$${let}\:{diagonal}\:{of}\:{square}=\mathrm{2}{s}…
Question Number 14863 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 05/Jun/17 Commented by adelson last updated on 05/Jun/17 $${what}'{s}\:\boldsymbol{{W}}? \\ $$ Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on…
Question Number 14809 by Tinkutara last updated on 04/Jun/17 $$\mathrm{Let}\:{ABC}\:\mathrm{be}\:\mathrm{an}\:\mathrm{acute}\:\mathrm{triangle}.\:\mathrm{Find} \\ $$$$\mathrm{the}\:\mathrm{positions}\:\mathrm{of}\:\mathrm{the}\:\mathrm{points}\:{M},\:{N},\:{P}\:\mathrm{on} \\ $$$$\mathrm{the}\:\mathrm{sides}\:{BC},\:{CA},\:{AB},\:\mathrm{respectively}, \\ $$$$\mathrm{such}\:\mathrm{that}\:\mathrm{the}\:\mathrm{perimeter}\:\mathrm{of}\:\mathrm{the}\:\mathrm{triangle} \\ $$$${MNP}\:\mathrm{is}\:\mathrm{minimal}. \\ $$ Commented by RasheedSoomro last updated…
Question Number 14810 by Tinkutara last updated on 04/Jun/17 $$\mathrm{7}\:\mathrm{real}\:\mathrm{numbers}\:\mathrm{are}\:\mathrm{given}\:\mathrm{in}\:\mathrm{the}\:\mathrm{interval} \\ $$$$\left(\mathrm{1},\:\mathrm{13}\right).\:\mathrm{Prove}\:\mathrm{that}\:\mathrm{atleast}\:\mathrm{3}\:\mathrm{of}\:\mathrm{them} \\ $$$$\mathrm{are}\:\mathrm{the}\:\mathrm{lengths}\:\mathrm{of}\:\mathrm{a}\:\mathrm{triangle}'\mathrm{s}\:\mathrm{sides}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 14807 by Tinkutara last updated on 04/Jun/17 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{medians}\:\mathrm{of}\:\mathrm{a}\:\mathrm{given} \\ $$$$\mathrm{triangle}\:\mathrm{can}\:\mathrm{form}\:\mathrm{a}\:\mathrm{triangle}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 14797 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 04/Jun/17 Commented by mrW1 last updated on 05/Jun/17 $${we}\:{know}\:{when}\:{the}\:{top}\:{point}\:{of}\:{a} \\ $$$${triangle}\:{is}\:{moved}\:{parallel}\:{to}\:{the}\:{base} \\ $$$${line},\:{the}\:{area}\:{of}\:{the}\:{triangle}\:{remains} \\ $$$${unchanged}. \\ $$$${we}\:{move}\:{the}\:{point}\:{E}\:{in}\:{this}\:{way}\:{such}…
Question Number 80260 by Power last updated on 01/Feb/20 Commented by MJS last updated on 01/Feb/20 $$\mathrm{this}\:\mathrm{is}\:\mathrm{hardly}\:\mathrm{understandable}.\:\mathrm{please}\:\mathrm{post} \\ $$$$\mathrm{in}\:\mathrm{better}\:\mathrm{English} \\ $$ Commented by mr W…