Category: Geometry

Question Number 15572 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 12/Jun/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 12/Jun/17 $$circle:ctangenttosemicircleAEBat:$$$$points:E\mathrm{\&}D.AD=a=12,DB=b=5.$$$$\dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots .$$$$1)DE=x=?,AE=?$$$$\left.\mathrm{2}\right)\:\:{show}\:{that}:\:\:\measuredangle{AED}=\mathrm{45}^{\bullet}…

Question Number 81075 by ajfour last updated on 09/Feb/20 Commented by ajfour last updated on 09/Feb/20 $$Givens,findcoordinates$$$$ofA,B,C.$$ Answered by ajfour last…

Question Number 15440 by mrW1 last updated on 10/Jun/17 Commented by mrW1 last updated on 10/Jun/17 $$\mathrm{The}\mathrm{sides}\mathrm{of}\mathrm{a}\mathrm{convex}\mathrm{quadrilateral}$$$$\mathrm{ABCD}\mathrm{are}\mathrm{elongated}2\mathrm{times}\mathrm{in}\mathrm{one}$$$$\mathrm{direction},\mathrm{see}\mathrm{diagram},\mathrm{to}\mathrm{form}\mathrm{a}\mathrm{new}$$$$\mathrm{quadrilateral}\mathrm{EFGH}.\mathrm{What}\mathrm{is}\mathrm{the}$$$$\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{new}\:\mathrm{quadrilateral}\:\mathrm{if}\:\mathrm{the}…

Question Number 146494 by syamilkamil1 last updated on 13/Jul/21 $$$$$$\mathrm{Solid}\mathrm{cube}\mathrm{ABCD}.\mathrm{EFGH}\mathrm{is}\mathrm{cut}\mathrm{by}\mathrm{a}$$$$\mathrm{pla}neX\mathrm{so}\mathrm{that}\mathrm{it}\mathrm{forms}\mathrm{a}\mathrm{plane}\mathrm{of}\mathrm{slices}$$$$\mathrm{IJK}LM\mathrm{N}\mathrm{where}\mathrm{I}\mathrm{is}\mathrm{mid}\mathrm{AB},\mathrm{J}\mathrm{is}\mathrm{mid}\mathrm{BF}$$$$K\mathrm{is}\mathrm{mid}\mathrm{FG},\mathrm{L}\mathrm{is}\mathrm{mid}\mathrm{HG},\mathrm{M}\mathrm{mid}\mathrm{DH}$$$$\mathrm{and}\mathrm{N}\mathrm{mid}\mathrm{AD}.\mathrm{If}\mathrm{the}\mathrm{edge}\mathrm{of}\mathrm{the}\mathrm{cube}$$$$\mathrm{is}X,\mathrm{find}\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{IJKLMN}\mathrm{field}$$ Terms…

Question Number 15318 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 09/Jun/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 09/Jun/17 $$given:ABCD,rectangle.connect$$$$eachvertextothemiddlepointof$$$$oneothersidesasshown.$$$$1)showthatMNPQ,isaparallelogram$$$${and}\:{its}\:{area}\:{is}\:{equail}\:{to}:\:\frac{\mathrm{1}}{\mathrm{5}}{area}\:{of}\:{ABCD}.…