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Category: Geometry

Question-189290

Question Number 189290 by normans last updated on 14/Mar/23 Answered by a.lgnaoui last updated on 14/Mar/23 $$\:\:\bigtriangleup\boldsymbol{{ABC}}\:\:\left[\measuredangle{OAC}={x}\:\:\:\measuredangle{BAO}={y}\right] \\ $$$$\:\:\:\:\:\:\:\:{x}+{y}=\mathrm{180}−\mathrm{126}=\mathrm{54}\:\: \\ $$$$\:\:\bigtriangleup\boldsymbol{{AOB}}\::\:\:\:\:\frac{\mathrm{sin}\:\mathrm{25}}{{OA}}=\frac{\mathrm{sin}\:{y}}{{OB}}\:\:\:\:\:\:\:\:\:\left(\mathrm{1}\right) \\ $$$$\:\:\bigtriangleup\boldsymbol{{AOC}}\::\:\:\:\frac{\mathrm{sin}\:\mathrm{17}}{{OA}}=\frac{\mathrm{sin}\:{x}}{{OC}}\:\:\:\:\:\:\:\:\:\:\left(\mathrm{2}\right) \\ $$$$\:\:\:\:\frac{\left(\mathrm{1}\right)}{\left(\mathrm{2}\right)}\Rightarrow\frac{\mathrm{sin}\:\mathrm{25}}{\mathrm{sin}\:\mathrm{17}}=\frac{\mathrm{sin}\:{y}}{\mathrm{sin}\:{x}}×\frac{{OC}}{{OB}}\:\:\:\:\:\:\:\:\left(\mathrm{3}\right)…

Question-123697

Question Number 123697 by ajfour last updated on 27/Nov/20 Commented by ajfour last updated on 27/Nov/20 $${Find}\:{radius}\:{of}\:{quarter}\:{circle}\:{in} \\ $$$${terms}\:{of}\:{sides}\:\boldsymbol{{a}},\:\boldsymbol{{b}},\:\boldsymbol{{c}}\:\:{of}\:\bigtriangleup{ABC}. \\ $$ Answered by mr W…

Question-189054

Question Number 189054 by mathlove last updated on 11/Mar/23 Answered by som(math1967) last updated on 11/Mar/23 $$\angle{EBD}=\angle{HBC}\:,\angle{ABC}=\angle{EBF} \\ $$$$\angle{HBF}=\angle{ABD} \\ $$$$\angle{EBD}+\angle{EBF}+\angle{HBF}+\angle{HBC} \\ $$$$+\angle{ABC}+\angle{ABD}=\mathrm{360} \\ $$$$\mathrm{2}\left(\angle{EBD}+\angle{HBF}+\angle{ABC}\right)=\mathrm{360}…

0-i-j-is-orthonormal-A-and-B-are-two-points-wich-verify-AB-3-find-the-locus-of-point-M-wich-verify-MA-MB-6-

Question Number 57949 by maxmathsup by imad last updated on 14/Apr/19 $$\left(\mathrm{0},{i},{j}\right)\:{is}\:{orthonormal}\:\:\:{A}\:{and}\:\:{B}\:{are}\:{two}\:{points}\:{wich}\:{verify}\:{AB}\:=\mathrm{3} \\ $$$${find}\:\:{the}\:{locus}\:{of}\:{point}\:{M}\:{wich}\:{verify}\:\:{MA}\:+{MB}\:=\mathrm{6}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com