Question Number 81331 by mr W last updated on 11/Feb/20 Commented by mr W last updated on 11/Feb/20 $${Given}:\:{the}\:{distances}\:{from}\:{a}\:{point}\:{to} \\ $$$${the}\:{midpoints}\:{of}\:{the}\:{sides}\:{of}\:{a}\:{triangle} \\ $$$${are}\:{p},{q},{r}. \\ $$$${Find}:\:{the}\:{side}\:{lengthes}\:{of}\:{the}\:{triangle}.…
Question Number 81322 by ajfour last updated on 11/Feb/20 Commented by ajfour last updated on 11/Feb/20 $${Find}\:{radius}\:{of}\:{quatercircle} \\ $$$${in}\:{terms}\:{of}\:{a},{b},{c}. \\ $$ Answered by mr W…
Question Number 15784 by mrW1 last updated on 13/Jun/17 Commented by mrW1 last updated on 14/Jun/17 $$\mathrm{ABCD}\:\mathrm{is}\:\mathrm{a}\:\mathrm{convex}\:\mathrm{quadrilateral}.\: \\ $$$$\mathrm{On}\:\mathrm{each}\:\mathrm{side}\:\mathrm{of}\:\mathrm{it}\:\mathrm{a}\:\mathrm{square}\:\mathrm{is}\:\mathrm{constructed}. \\ $$$$\mathrm{E},\mathrm{F},\mathrm{G},\mathrm{H}\:\mathrm{are}\:\mathrm{center}\:\mathrm{points}\:\mathrm{of}\:\mathrm{these} \\ $$$$\mathrm{squares}.\:\mathrm{Prove}\:\mathrm{that}\:\mathrm{EG}=\mathrm{FH}\:\mathrm{and} \\ $$$$\mathrm{EG}\bot\mathrm{FH}.…
Question Number 15782 by mrW1 last updated on 13/Jun/17 Commented by mrW1 last updated on 13/Jun/17 $$\mathrm{E}\:\mathrm{and}\:\mathrm{F}\:\mathrm{are}\:\mathrm{midpoint}\:\mathrm{of}\:\mathrm{AB}\:\mathrm{and}\:\mathrm{CD}.\: \\ $$$$\mathrm{Prove}\:\mathrm{that} \\ $$$$\mathrm{area}\:\mathrm{yellow}=\mathrm{area}\:\mathrm{green} \\ $$ Answered by…
Question Number 81303 by mr W last updated on 11/Feb/20 Commented by mr W last updated on 11/Feb/20 $${Find}\:{x}=? \\ $$ Answered by mr W…
Question Number 81289 by 37996827 last updated on 11/Feb/20 $${discussthesymmetryofthefollowingcurves} \\ $$$${squareofx}+{squareofy}=\mathrm{1} \\ $$ Commented by mr W last updated on 11/Feb/20 $${itisacirclewithradiusof}\mathrm{1}{andcenterat} \\ $$$${theoriginwhichissymmetricaboutevery}…
Question Number 15700 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 12/Jun/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 13/Jun/17 $${j},{is}\:{the}\:{incircle}\:{of}\:{A}\overset{\Delta} {{B}C}. \\ $$$${MN}\parallel{AC},{KL}\parallel{AB},{OP}\parallel{BC} \\ $$$${OP}={x},{MN}={y},{KL}={z},{AB}={c},{BC}={a},{AC}={b}. \\ $$$${a}>{b}>{c}>\mathrm{1} \\…
Question Number 15699 by zildabatistoti last updated on 12/Jun/17 $$\mathrm{3}+\mathrm{5x}=\mathrm{58} \\ $$ Answered by Joel577 last updated on 13/Jun/17 $$\mathrm{5}{x}\:=\:\mathrm{58}\:−\:\mathrm{3}\:=\:\mathrm{55} \\ $$$${x}\:=\:\frac{\mathrm{55}}{\mathrm{5}}\:=\:\mathrm{11} \\ $$ Terms…
Question Number 15672 by Mr easymsn last updated on 12/Jun/17 $$\:{solve}\:{the}\:{equation}: \\ $$$$\:\:\left\{\mathrm{5}^{{x}} \right\}\:+\mathrm{5}{x}=\mathrm{140} \\ $$$${please}\:{show}\:{workings}….. \\ $$ Answered by mrW1 last updated on 13/Jun/17…
Question Number 81193 by ajfour last updated on 10/Feb/20 Commented by ajfour last updated on 10/Feb/20 $${If}\:{both}\:{coloured}\:{regions}\:{have}\:{equal} \\ $$$$\left({areas}\right)_{{maximum}\:} ,\:{determine}\:\alpha. \\ $$ Commented by jagoll…