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Category: Geometry

if-ABC-similar-PQR-and-area-of-PQR-4area-ABC-then-AB-PQ-is-

Question Number 30090 by gopikrishnan005@gmail.com last updated on 16/Feb/18 $$\mathrm{if}\:\Delta\mathrm{ABC}\:\mathrm{similar}\:\Delta\mathrm{PQR}\:\mathrm{and}\:\mathrm{area}\:\mathrm{of}\:\Delta\mathrm{PQR}=\mathrm{4area}\left(\Delta\mathrm{ABC}\right)\:\mathrm{then}\:\mathrm{AB}:\mathrm{PQ}\:\mathrm{is} \\ $$ Answered by Rasheed.Sindhi last updated on 17/Feb/18 $$\mathrm{mAB}=\mathrm{c},\mathrm{mBC}=\mathrm{a},\mathrm{mAC}=\mathrm{b},\mathrm{s}=\frac{\mathrm{a}+\mathrm{b}+\mathrm{c}}{\mathrm{2}} \\ $$$$\mathrm{mPQ}=\mathrm{r},\mathrm{mQR}=\mathrm{p}\:,\mathrm{mPR}=\mathrm{q},\mathrm{S}=\frac{\mathrm{p}+\mathrm{q}+\mathrm{r}}{\mathrm{2}} \\ $$$$\blacktriangle\mathrm{ABC} \\…