Category: Geometry

Question Number 222703 by gabthemathguy25 last updated on 05/Jul/25 Commented by gabthemathguy25 last updated on 06/Jul/25 $${Where}\:{the}\:{circles}\:{radius}\:{is}\:{R}\:=\:\mathrm{7} \\ $$ Answered by mr W last updated…

Question Number 222646 by Tawa11 last updated on 03/Jul/25 Answered by som(math1967) last updated on 03/Jul/25 $$\:{AB}={BC}−{d},\:{AC}={BC}+{d} \\ $$$$\:\:{AC}^{\mathrm{2}} ={AB}^{\mathrm{2}} +{BC}^{\mathrm{2}} \\ $$$$\left({BC}+{d}\right)^{\mathrm{2}} =\left({BC}−{d}\right)^{\mathrm{2}} +{BC}^{\mathrm{2}}…

Question Number 222636 by Mingma last updated on 02/Jul/25 Answered by mr W last updated on 04/Jul/25 $${d}=\sqrt{{a}^{\mathrm{2}} −\left({a}−{x}\right)^{\mathrm{2}} }+{x}+\sqrt{{b}^{\mathrm{2}} −\left({b}−{x}\right)^{\mathrm{2}} } \\ $$$$\:\:=\sqrt{\mathrm{2}{ax}−{x}^{\mathrm{2}} }+{x}+\sqrt{\mathrm{2}{bx}−{x}^{\mathrm{2}}…

Question Number 222579 by ajfour last updated on 30/Jun/25 Answered by mr W last updated on 30/Jun/25 Commented by mr W last updated on 01/Jul/25…

Question Number 222533 by Tawa11 last updated on 29/Jun/25 Answered by fantastic last updated on 29/Jun/25 Commented by fantastic last updated on 29/Jun/25 $${Total}\:{area}\:{of}\:{the}\:{triangle}=\mathrm{54}+\mathrm{42}=\mathrm{96}{cm}^{\mathrm{2}} \\…