Category: Geometry

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 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 15642 by mrW1 last updated on 12/Jun/17 Answered by ajfour last updated on 12/Jun/17 $$\:\:{Required}\:{Area}={S} \\ $$$$\:{let}\:{O}\:{be}\:{origin}. \\ $$$$\:{A}\left({a},\mathrm{0}\right)\:;\:{B}\left(\mathrm{0},{b}\right)\:;\:{C}\left(−{c},\mathrm{0}\right)\:; \\ $$$$\:{D}\left(\mathrm{0},−{d}\right)\:;\:{E}\left({a}+{p},\:−{d}−{q}\right) \\ $$$$\:\:\frac{{q}+{d}}{{p}}=\frac{{b}}{{a}}\:\:\:,\:\:\:\:\:\frac{{p}+{a}}{{q}}=\frac{{c}}{{d}}…

Question Number 15572 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 12/Jun/17 $${circle}\::{c}\:{tangent}\:{to}\:{semicircle}\:{AEB}\:{at}: \\ $$$${points}:\:{E}\:\&\:{D}.\:{AD}={a}=\mathrm{12},{DB}={b}=\mathrm{5}. \\ $$$$……………………………………………. \\ $$$$\left.\mathrm{1}\right){DE}={x}=?,{AE}=? \\ $$$$\left.\mathrm{2}\right)\:\:{show}\:{that}:\:\:\measuredangle{AED}=\mathrm{45}^{\bullet}…

Question Number 81075 by ajfour last updated on 09/Feb/20 Commented by ajfour last updated on 09/Feb/20 $${Given}\:{s},\:{find}\:{coordinates} \\ $$$${of}\:{A},{B},{C}. \\ $$ Answered by ajfour last…