Category: Coordinate Geometry

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 214784 by efronzo1 last updated on 19/Dec/24 $$\downharpoonleft \underset{―}{}$$ 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 213745 by efronzo1 last updated on 15/Nov/24 Answered by mnjuly1970 last updated on 16/Nov/24 $$\left(\mathrm{M}ediantheorem\right):7^2+R^2=2{\left(\sqrt{14}\right)}^2+\frac{{\left(2R\right)}^2}{2}$$$$\:\:\:\:\:\:\mathrm{49}\:+\:{R}^{\mathrm{2}} \:=\:\mathrm{28}\:+\:\mathrm{2}{R}^{\mathrm{2}} \…

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 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…