Category: Geometry

Question Number 119812 by I want to learn more last updated on 27/Oct/20 Answered by talminator2856791 last updated on 27/Oct/20 Answered by 1549442205PVT last updated…

Question Number 185324 by cherokeesay last updated on 20/Jan/23 Answered by som(math1967) last updated on 20/Jan/23 $${AC}=\sqrt{\mathrm{2}^{\mathrm{2}} +\mathrm{1}^{\mathrm{2}} }=\sqrt{\mathrm{5}}={BC} \\ $$$$\:{r}×\frac{\mathrm{2}+\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}}=\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{2}×\mathrm{1} \\ $$$$\Rightarrow{r}=\frac{\mathrm{2}}{\mathrm{3}+\sqrt{\mathrm{5}}} \\ $$$$\:{R}×\frac{\sqrt{\mathrm{5}}+\sqrt{\mathrm{5}}+\mathrm{2}}{\mathrm{2}}=\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{2}×\mathrm{2}…

Question Number 54206 by ajfour last updated on 31/Jan/19 Commented by ajfour last updated on 31/Jan/19 $${Find}\:{the}\:{area}\:{of}\:{trapezium}\:{ABCD} \\ $$$${in}\:{terms}\:{of}\:\boldsymbol{{a}}.\:\left({the}\:{red}\:{circles}\:{are}\:{each}\right. \\ $$$${within}\:{a}\:{half}\:{quarter}\:{circle}\:{and}\:{the} \\ $$$$\left.{outer}\:{boundary}\:{is}\:{a}\:{square}\:{of}\:{side}\:\boldsymbol{{a}}\right). \\ $$…

Question Number 185271 by Mingma last updated on 19/Jan/23 Answered by HeferH last updated on 19/Jan/23 Commented by HeferH last updated on 19/Jan/23 $$\frac{\mathrm{4}\:+{x}\sqrt{\mathrm{3}}}{\mathrm{2}}\:+\:\mathrm{9}\:=\:\mathrm{4}\:+\:\mathrm{10}\:−\:{x}\sqrt{\mathrm{3}} \\…

Question Number 185178 by Rupesh123 last updated on 18/Jan/23 Commented by Rupesh123 last updated on 18/Jan/23 All are squares sitting on a horizontal base with areas given. Find Green Areas Answered by HeferH last updated on 18/Jan/23 Commented…