Question Number 216060 by mr W last updated on 26/Jan/25 Commented by mr W last updated on 26/Jan/25 $${find}\:{radius}\:{of}\:{inscribed}\:{circle}\:{r}=? \\ $$ Commented by Tawa11 last…
Question Number 215230 by Mingma last updated on 01/Jan/25 Answered by A5T last updated on 01/Jan/25 Commented by A5T last updated on 01/Jan/25 $$\mathrm{AC}=\mathrm{BC}=\mathrm{a};\:\mathrm{AB}=\mathrm{c};\:\:\angle\mathrm{CAB}=\theta;\:\mathrm{IE}\parallel\mathrm{AB} \\…
Question Number 215004 by efronzo1 last updated on 25/Dec/24 Commented by mr W last updated on 26/Dec/24 $$\left({xy}+\frac{\lambda^{\mathrm{2}} }{{xy}}\right)_{{min}} =\frac{\mathrm{1}}{\mathrm{4}}+\mathrm{4}\lambda^{\mathrm{2}} \\ $$ Commented by efronzo1…
Question Number 214784 by efronzo1 last updated on 19/Dec/24 $$\:\:\:\downharpoonleft\underline{\:} \\ $$ Answered by A5T last updated on 19/Dec/24 $$\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }+\sqrt{{c}^{\mathrm{2}} +{d}^{\mathrm{2}} }\geqslant\sqrt{\left({a}+{c}\right)^{\mathrm{2}} +\left({b}+{d}\right)^{\mathrm{2}}…
Question Number 214020 by ajfour last updated on 24/Nov/24 Commented by ajfour last updated on 24/Nov/24 $${Red}\:{area}\:=\:{Blue}\:{area}.\:{Find}\:{r}\:{in} \\ $$$${terms}\:{of}\:{k},\:\phi. \\ $$ Answered by dionigi last…
Question Number 213745 by efronzo1 last updated on 15/Nov/24 Answered by mnjuly1970 last updated on 16/Nov/24 $$\:\left(\mathrm{M}{edian}\:{theorem}\:\right):\:\:\:\:\:\:\mathrm{7}^{\mathrm{2}} \:+\:{R}^{\mathrm{2}} =\:\mathrm{2}\left(\sqrt{\mathrm{14}}\:\right)^{\mathrm{2}} \:+\:\frac{\left(\mathrm{2}{R}\right)^{\mathrm{2}} }{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\mathrm{49}\:+\:{R}^{\mathrm{2}} \:=\:\mathrm{28}\:+\:\mathrm{2}{R}^{\mathrm{2}} \\…
Question Number 213203 by golsendro last updated on 01/Nov/24 $$\:\:\:\:\:\:\cancel{\underline{\underbrace{\mathscr{G}}}} \\ $$ Answered by lepuissantcedricjunior last updated on 01/Nov/24 $$\boldsymbol{{f}}\left(\boldsymbol{{xy}}\right)=\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)+\boldsymbol{{f}}\left(\boldsymbol{{y}}\right) \\ $$$$\boldsymbol{{f}}\left(\mathrm{10}\right)=\mathrm{14};\boldsymbol{{f}}\left(\mathrm{20}\right)=\mathrm{40} \\ $$$$\boldsymbol{{calculons}}\:\boldsymbol{{f}}\left(\mathrm{500}\right) \\…
Question Number 212993 by MrGaster last updated on 28/Oct/24 Commented by MrGaster last updated on 28/Oct/24 "Let ΔABC be inscribed in circle O. Point P is inside ΔABC, and the projections of P on the sides BC, CA, and AB are points X, Y, and Z, respectively. The second intersection point of line AP with circle O is D. Point E lies on circle O, and DE is perpendicular to BC. Let I be the midpoint of DE. Line PI intersects BC at F, and point T lies on AF such that TX is parallel to AD. Prove that line YZ bisects line TX." Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 212986 by MrGaster last updated on 27/Oct/24 Commented by MrGaster last updated on 27/Oct/24 A, B are two fixed points on the same side of the line PQ. M is a moving point on PQ. When (|AM|+|BM|) is minimized, prove: angle AMP = angle BMQ Answered by mr W last updated on 29/Oct/24…
Question Number 212714 by Mingma last updated on 21/Oct/24 Answered by mr W last updated on 22/Oct/24 Commented by mr W last updated on 22/Oct/24…