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Category: Geometry

Resolution-du-probldme-pose-par-sonukgindia-16-7-2023-voir-Q194819-ABC-AM-AN-ADcos-2-AC-AM-MC-17-1-AB-AN-NB-18-2-AB-AC-1-NB-MC-3-CDE-cos-C-2-

Question Number 194998 by a.lgnaoui last updated on 22/Jul/23 Resolutionduprobldmeposeparsonukgindia(16.7.2023)voirQ194819ABCAM=AN=ADcosα2{AC=AM+MC=17(1)AB=AN+NB=18(2)ABAC=1=NBMC(3)CDEcosC2=CMCD=CECDCM=CE$$\bigtriangleup\boldsymbol{\mathrm{BDE}}\:\:\:\mathrm{cos}\:\frac{\boldsymbol{\mathrm{B}}}{\mathrm{2}}=\frac{\boldsymbol{\mathrm{BE}}}{\boldsymbol{\mathrm{BD}}}=\frac{\boldsymbol{\mathrm{BN}}}{\boldsymbol{\mathrm{BD}}}\Rightarrow\boldsymbol{\mathrm{BN}}=\boldsymbol{\mathrm{BE}} \