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Category: Geometry

Question-180365

Question Number 180365 by Acem last updated on 11/Nov/22 Answered by greougoury555 last updated on 11/Nov/22 $${let}\:\angle\:{ABC}\:=\:\beta \\ $$$$\angle\:{AOC}=\:\mathrm{360}°−\mathrm{2}\beta \\ $$$$\:\mathrm{2}\alpha\:+\mathrm{360}°−\mathrm{2}\beta\:=\:\mathrm{180} \\ $$$$\:\Leftrightarrow\:\beta−\alpha\:=\:\frac{\mathrm{360}°−\mathrm{180}°}{\mathrm{2}}\:=\mathrm{90}° \\ $$…

Question-49183

Question Number 49183 by ajfour last updated on 04/Dec/18 Commented by ajfour last updated on 04/Dec/18 $${Find}\:\:\:\:\:\:\:\frac{{Area}\:\bigtriangleup{PQR}}{{Area}\:\bigtriangleup{ABC}}\:\:,\:{if}\:{centroid}\:{G} \\ $$$${of}\:\bigtriangleup{ABC}\:{lies}\:{on}\:{z}\:{axis}\:{and}\:{each} \\ $$$${vertex}\:{on}\:{surface}\:{of}\:{paraboloid}. \\ $$ Commented by…