Menu Close

Category: Geometry

Question-199286

Question Number 199286 by ajfour last updated on 31/Oct/23 Answered by ajfour last updated on 31/Oct/23 $${Let}\:{height}\:{of}\://{gm}={h} \\ $$$${AB}=\mathrm{1}\:\: \\ $$$$\mathrm{2}{r}+\sqrt{\mathrm{1}−\mathrm{4}{r}^{\mathrm{2}} }={p} \\ $$$$\frac{{r}}{\mathrm{2}}\left(\mathrm{1}+{p}+\sqrt{\mathrm{1}+{p}^{\mathrm{2}} }\right)=\frac{{p}}{\mathrm{2}}…

Given-that-ABCD-is-a-trapezium-such-that-AD-BC-The-centroid-of-ABD-lies-on-the-bisector-of-BCD-Show-that-the-centroid-of-ABC-lies-on-the-bisector-of-ADC-

Question Number 199006 by adhigenz last updated on 26/Oct/23 $$\mathrm{Given}\:\mathrm{that}\:{ABCD}\:\mathrm{is}\:\mathrm{a}\:\mathrm{trapezium}\:\mathrm{such}\:\mathrm{that}\:{AD}//{BC}. \\ $$$$\mathrm{The}\:\mathrm{centroid}\:\mathrm{of}\:\bigtriangleup{ABD}\:\mathrm{lies}\:\mathrm{on}\:\mathrm{the}\:\mathrm{bisector}\:\mathrm{of}\:\angle{BCD}. \\ $$$$\mathrm{Show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{centroid}\:\mathrm{of}\:\bigtriangleup{ABC}\:\mathrm{lies}\:\mathrm{on}\:\mathrm{the}\:\mathrm{bisector}\:\mathrm{of}\:\angle{ADC}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-198933

Question Number 198933 by cherokeesay last updated on 25/Oct/23 Commented by mr W last updated on 26/Oct/23 Commented by Rasheed.Sindhi last updated on 26/Oct/23 $$\mathbb{T}\boldsymbol{\mathrm{han}}\Bbbk\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{help}}\:\boldsymbol{\mathrm{in}}\:\boldsymbol{\mathrm{diagram}}\:\boldsymbol{\mathrm{sir}}!…