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Category: Geometry

Consider-a-triangle-ABC-Let-D-and-E-are-two-points-on-AB-and-AC-respectively-such-that-DE-BC-Now-there-are-two-parts-of-ABC-ADE-and-trapizoid-DBCE-If-these-two-regions-have-same-area-W

Question Number 3823 by Rasheed Soomro last updated on 21/Dec/15 ConsideratriangleABC.LetDandEaretwopointsonABandACrespectivelysuchthatDEBC.NowtherearetwopartsofABC:ADEandtrapizoidDBCE.IfthesetworegionshavesameareaWhatwillbetheratiooftwodistances:(i)distanceofDEfrompointAand$$\left({ii}\right)\:{distance}\:{between}\:\mathrm{BC}\:{and}\:\mathrm{DE}\:\:?…

Derive-a-formula-of-volume-of-right-circular-cone-when-the-formula-of-volume-of-cyllinder-is-given-

Question Number 3714 by Rasheed Soomro last updated on 19/Dec/15 Deriveaformulaofvolumeofrightcircularconewhentheformulaofvolumeofcyllinderisgiven. Answered by Filup last updated on 19/Dec/15 Imnotsurehowtoanswerthequestion$$\mathrm{given}.\:\mathrm{But}\:\mathrm{I}\:\mathrm{can}\:\mathrm{show}\:\mathrm{it}\:\mathrm{this}\:\mathrm{way}:…

Question-69192

Question Number 69192 by TawaTawa last updated on 21/Sep/19 Answered by mr W last updated on 21/Sep/19 letBAD=αsidelength=aasin(60+α)=3sinα(i)$$\frac{{a}}{\mathrm{sin}\:\left(\mathrm{60}+\mathrm{30}−\alpha\right)}=\frac{{a}}{\mathrm{cos}\:\alpha}=\frac{\mathrm{5}}{\mathrm{sin}\:\left(\mathrm{30}−\alpha\right)}\:\:\:…\left({ii}\right) \