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Question-184638




Question Number 184638 by HeferH last updated on 09/Jan/23
Commented by HeferH last updated on 09/Jan/23
find “x” if the base (60° - 2α) has a length of 12
findxifthebase(60°2α)hasalengthof12
Commented by mr W last updated on 09/Jan/23
can you exactly specify what is 6, 4  and x? like this way:
canyouexactlyspecifywhatis6,4andx?likethisway:
Commented by mr W last updated on 09/Jan/23
Commented by HeferH last updated on 09/Jan/23
I forgot but next time I′ll use more colors   (Your drawing is correct) :)
IforgotbutnexttimeIllusemorecolors(Yourdrawingiscorrect):)
Commented by mr W last updated on 09/Jan/23
then something is wrong!  α+β=60°  say y=right side  (y/(sin 60))=((12)/(sin 2β))  (y/(sin (α+β)))=(6/(sin β))  (6/(sin β))=((12)/(sin 2β))=((12)/(2 sin β cos β))  ⇒cos β=1 ⇒β=0° !!
thensomethingiswrong!α+β=60°sayy=rightsideysin60=12sin2βysin(α+β)=6sinβ6sinβ=12sin2β=122sinβcosβcosβ=1β=0°!!
Commented by HeferH last updated on 10/Jan/23
 The problem says:   “In a triangle ABC draw the interior bisectors   BM and CN which intersect at P.    if the  angle BAC = 60°, AC = 12, PM = 4 and   PC = 6, find AN. ”   then maybe my drawing its no accurate :/
Theproblemsays:InatriangleABCdrawtheinteriorbisectorsBMandCNwhichintersectatP.iftheangleBAC=60°,AC=12,PM=4andPC=6,findAN.thenmaybemydrawingitsnoaccurate:/

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