Question Number 168830 by amin96 last updated on 18/Apr/22 Commented by mr W last updated on 22/Apr/22 $${seems}\:{wrong}! \\ $$$${PB}={PD}=\mathrm{3} \\ $$$${AB}={AP}+{PB}=\mathrm{9}+\mathrm{3}=\mathrm{12} \\ $$$$\frac{{DB}}{{DP}}=\frac{{AB}}{{DB}}\: \\…
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Question Number 37751 by ajfour last updated on 17/Jun/18 Commented by ajfour last updated on 17/Jun/18 $${Find}\:{area}\:{of}\:{quadrilateral}\:{PQRS} \\ $$$${in}\:{terms}\:{of}\:\boldsymbol{{a}},\:\boldsymbol{{b}}. \\ $$$${ABCD}\:{is}\:{a}\:{square}. \\ $$ Commented by…
Question Number 168801 by Ari last updated on 17/Apr/22 Commented by cortano1 last updated on 18/Apr/22 $$\overset{\rightarrow} {{AO}}\:=\:\frac{\mathrm{2}}{\mathrm{3}}\overset{\rightarrow} {{AC}}\:=\:\frac{\mathrm{4}}{\mathrm{3}}\left(\overset{\rightarrow} {{a}}+\overset{\rightarrow} {{b}}\right) \\ $$ Commented by…
Question Number 168737 by infinityaction last updated on 16/Apr/22 Commented by infinityaction last updated on 16/Apr/22 $$\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{value}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{x}} \\ $$ Answered by mr W last updated…
Question Number 103179 by ajfour last updated on 13/Jul/20 Commented by ajfour last updated on 13/Jul/20 $${If}\:{D}\:{and}\:{E}\:{are}\:{midpoints}\:{of}\: \\ $$$${sides}\:{AC}\:{and}\:{AB}\:\:{respectively}, \\ $$$${of}\:\bigtriangleup{ABC}\:,\:{find}\: \\ $$$$\:\:\:\:\:\:\frac{{blue}\:{area}}{{area}\:\bigtriangleup{ABC}}\:\:\:\:{in}\:{terms}\:{of}\: \\ $$$$\:{sides}\:{a},\:{b},\:{c}\:{of}\:{the}\:\bigtriangleup.…
Question Number 103165 by ajfour last updated on 13/Jul/20 Commented by ajfour last updated on 13/Jul/20 $${If}\:{outer}\:{circle}\:{has}\:{unit}\:{radius}, \\ $$$${find}\:{side}\:{of}\:{the}\:{equilateral}\:\bigtriangleup. \\ $$$${P},\:{Q},{R}\:{are}\:{centres}\:{of}\:{the}\: \\ $$$${smaller}\:{circles}.\:{Also}\:{find}\:\alpha. \\ $$…
Question Number 37582 by behi83417@gmail.com last updated on 15/Jun/18 Commented by ajfour last updated on 15/Jun/18 Commented by behi83417@gmail.com last updated on 15/Jun/18 $${in}\:{triangle}\:{A}\overset{\blacktriangle} {{B}C}:\angle{A}=\mathrm{72}^{\bullet}…
Question Number 37553 by ajfour last updated on 14/Jun/18 Commented by ajfour last updated on 15/Jun/18 $${Find}\:{maximum}\:{area}\:{of}\:\bigtriangleup{MNP}\:{in}\: \\ $$$${terms}\:{of}\:{sides}\:{a},{b},{c}\:\left({of}\:\bigtriangleup{ABC}\right)\: \\ $$$${and}\:{radius}\:{R}\:\left({of}\:{outer}\:{circle}\right). \\ $$ Commented by…
Question Number 102991 by I want to learn more last updated on 12/Jul/20 Answered by mr W last updated on 12/Jul/20 $${R}^{\mathrm{2}} =\left({R}−\mathrm{8}\right)^{\mathrm{2}} +\left(\frac{\mathrm{64}}{\mathrm{2}}\right)^{\mathrm{2}} \\…