GSPkG F(#capmdt2g~K =5   gH Inner Napoleon Triangle7tiK aClick and drag any vertex of triangle ABC to investigate the relationship of the areas of the outer Napoleon Triangle JKL, the inner Napoleon Triangle J'K'L', and the original triangle ABC.tQehlK llllNapoleon's Triangle JKLt8 9<K u|u uj$E Qjj迂 _3^UPOriginal Triangle ABCt C',02<@EISCC t\aip BWriXp\SKETCH\logo8bi.bmp&CompanyNameKey CurriculumC-Ct A ,(IpltCCtLQ ? C'',02<@EIS CCtJm9  m{!:A}ABC = Angle(ABC) =  t p1ll?aCCC-CltCCtAF ? S h%vrRh@Lh%vrRv@cC rCt ? Ru/uv@}C-Ct ? Tu >u/Zu/F@5sNCC t l)))))))))CCltCC? t[ k8HN((C-CCC? ta jltCCC-C? t@a aa~33//XXllSSAAiC-CcC rC?  tJ z;;~~aajjbbkktt||5sNCCCC? tZ ymes New Roman0A:\6690\ESSAY4Arial1.gspltCC}C-C?  tf3 p3f333f333333333f33333?33cC rC}C-C5sNCC t>I_m7987l2, Area ABC = Area(Polygon ABC) = tM7Lum3u jX u3U(fueMjfEXuEEHt_HHt m {S:AB} = Length(Segment AB) = tM!6;um2uE ;wu E;w j^33U4SVWj 3Y3}Љu3EP m {S:BC} = Length(Segment BC) = tM  m1G]!}O}wd"u! m {S:CA} = Length(Segment CA) =  tFPV ot*j_Pt$jPV_^ (=tjPvH ltCCcC rC?  t@ ? l')))))))))CCcC rC? tuE n vuGjht0MEQMQMQjhPkCC}C-C?  t[ ? k'8HN((C-C}C-C? ta1 m111111C-C5sNCC?  t ? j'ltCC5sNCC?tsCm13CCBCCC`CC0~9C#C`CC~9C#C m {S:TC} = Length(Segment TC) = tsEm12+//QQ++DDccaaxxkk m {S:AR} = Length(Segment AR) = tr`m11__ww}}||OO m {S:BS} = Length(Segment BS) = tV[ MAAyyBBwѫCiC tm10ff̙fff3fffff3fff3 Area TRS = Area(Polygon TRS) = t^cM Iu _^[ [tFSWj+|)jWh*tuuoC,C tnasfj H]U~9RV!t-;} u3ۅ|"ft>EM@E9MU|3ۉH2CC t G{"jRPWQ|#EE;E3|f!EjMj QWP_^[jXU>C_dC tf? F;t$t3v 9u@r_^[3USVW >C_x-C t` EV2j@PQRV^Vt$-tHNHF N^fCe|C t DTMAu]M;u`;}EE;tSPQ9]t paCIMC t  uDDNN__``llVVii 7CqCWQCvC?$tD t  ++//QQ++DDccaBC"C"]CBOC?%te sooQQw w hh__xn$CDC,CnC?&tG r$$PP88n$COBCHmC?'tr qxxTT))EE~~__C*`CKCh:C?)t" pvv [CBaCޔCkB?(tEHJM L SSwwKKssXXffLL~~  ooJvCVȤC *+t KAALLII& & 22ss//C@PRC,-t  Jpp__ww}zCBC./tEJn J'pp__ww}ʻCC2t[`X/C K'ALLII& & 22ss//CvC 1tIN  L' SSwwKKssXXffLL~~  oo1@C=hC0 t Kۿ p2rEPj]EPjht} UH} SVWuJE?C@PRCzCBCJvCVȤC120 tJM  x__77{{66;;44bJvCVȤCzCBC?20 tDM:  w&&mm  nnQC@PRCJvCVȤC?01 t  v''44YY**zCBCC@PRC?12 tG^nC p4C)Ch5iCC,0CiCt5CeFCT 5X#qCjCUnCYC` 5?Cj1@C=hCʻCCCvC534 tDNC*`t adhC*uCC坙Cl 5C坙CghC*uC55* 5n1@C=hCʻCC?35 tH`t acYC 7CCYC3#CYCC,C\5pC>CdCpC53CvC1@C=hC?54 tD` abCC@Cr7C 3#CYC CC3#CYC5CCʻCCCvC?43t/4.wmf Nmes New Romant5/ C]C\C@PlCT 5qC;XtC@.gspnap1.gsnC9C 7tTm8C>>XXRR55 Area LJK = Area(Polygon LJK) = 6tG m6 _5 m {S:JK} = Length(Segment JK) = 9tH m5z{|}tuw m {S:KL} = Length(Segment KL) = 8tnG  m4 = BHd  m {S:LJ} = Length(Segment LJ) = 7tI\m18$4C7C 7C[C$ C *D5ÅCd5CǘC xCP5 m {S:L'J'} = Length(Segment L'J') = ;tI&Cm17D=D:&CC B 7CC CC\zCrB 5XC eC#C m {S:J'K'} = Length(Segment J'K') = =tHCm16kCC0+C^BkCC+C^B  xC@C kCC x m {S:K'L'} = Length(Segment K'L') = <t@C_m14CC0jFC8CC_CjFC8C$CR"CC_C$Area K'J'L' = Area(Polygon K'J'L') = :td=m15 !{(:Area LJK} - {(:Area K'J'L'} = +Area(Polygon LJK) - Area(Polygon K'J'L') = ?FDKTimes New RomanC *D5Arial53X7CJ;C