l 2Q~'Ccapm0~5+P~ /4_DIL |h@~K+aAA swerUsedSize <=BufferSizeCurPos != pwwin \BDC k"p |h@~K+aABϟp \CA |h@~K+aACϟ`0O \D/C E |h@~K+aA|||||||||||^^ \ IbMedial Triangle is Purple. Triangle Constructed via Orthocenter is Blue. Orthic Triangle is Green.TSYe `e0Fe0 bb(?n(W"bauDau.p  |h@~K+aAj//Pp OP \BDCCA?圃j/  |h@~K+aAkp `//p?`0 \CAD/C?kZ .p  |h@~K+aAlo ߀o \D/CBDC? .sNs  |h@~K +aAm @~: V @~:0VBBBB \BDCBbCј?K  |h@~K +aAnEk3g9g~ |T (5w{9g%g~@||$ 0>T) \D/CD4Cӵr?jy-  |h@~K +aAosN^ 'pH_A \CACB]?l |h@~K+aAm1--=- \  m{!:A}BAC = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @' Angle(BAC) = PA }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8D$4l |h@~K+aAm2ݚ3_^[USVWE}u \  m{!:A}ABC = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @' Angle(ABC) = PA }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8D9IlM |h@~K+aAm3EE}3,EE@WE} \  m{!:A}BCA = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @' Angle(BCA) = PA }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8D'o,t> |h@~K+aAIncenter# #/ʢ! \C\oC0$ } |h@~K+aAD # #  vʢ \DCv v{/d |h@~K+aAE # #  vʢ \CC  |h@~K+aAF # #  ʢ \COCt;" |h@~K+aAv---!m \CC&D?fr |h@~K+aAw---  " \CCCÔ?60 |h@~K+aAx!BAC = $0#----- \CCDeD?p}k |h@~K +aAm16 \ l = A}BCA = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @'Length(Segment l) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8D]jm |h@~K +aAm17\\\ \ k = A}BCA = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @'Length(Segment k) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8DLYi |h@~K +aAm18 \ j = A}BCA = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @'Length(Segment j) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8D   |h@~K+aAaj \COCtCߖCʎ?j{  |h@~K+aAai \CCCy C)?  |h@~K+aAah \DCvC'JCJ?{  |h@~K+aAo # # rʢ \COCtCC?Lou  |h@~K+aAn\ # #X ʢ \DCvCC?  |h@~K+aAm, # #(   ʢ \DCvCOCt?Ҡj{dR  |h@~K+aApQx v: F + \CACC?.  |h@~K+aAq0r)X^ 76EI6J F 9 (&S \BDCDCv?  |h@~K+aAr/["b17T04Us \D/CCOCt?M |h@~K+aAs\R$gXx0( H\VP \BCC? |h@~K+aAt]s2wLLL4..|. \D;@BCCπ?t1 |h@~K+aAu:+/xtDUpGx(;6=gzR \CDDCC?jo |h@~K+aA Orthocenter # G(~ʢ8 \CHCQw#0* |h@~K +aAm7 \  m{!:A}DEF = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @' Angle(DEF) = t j) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8D6C) |h@~K +aAm8:G\BBggNU S j0 k0|IH:C \  m{!:A}EFD = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @' Angle(EFD) = t j) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8D(lZlZ |h@~K +aAm9ZlZlZlZlZlZlZlZlZlZlZlZlZlZlZllZlZlZlZlZlZlZlZlZlZlZlZlZlZlZlZlZlZlZ \  m{!:A}FDE = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @' Angle(FDE) = t j) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8D(  |h@~K+aAU# #  rʢ \C`C ǟ la |h@~K+aAV# #  rʢ \CChm  |h@~K+aAW# #  ʢ \C0CuW |h@~K+aAad  \CCBC%?t |h@~K+aAac \CDCC? |h@~K+aAab   \D `C!C@C@?:r?w |h@~K+aACentroid# #8  /vʢ# \C*C* pwu|! |h@~K+aA Circumcenter # O0ʢB \CEC /#"ipg  |h@~K+aAanooooxohoXoHo8o(o gggggggd \CHCQwCA?$.olZlZ  |h@~K+aAaoZlZlZlZlZlZlZlZlZlZlZlZlZlZlZllZlZlZlZlZlZlZlZlZlZlZlZlZlZlZlZlZlZlZ \CHCQwBDC?$ilZlZ  |h@~K+aAapZlZlZlZlZlZlZlZlZlZlZlZlZlZlZllZlZlZlZlZlZlZlZlZlZlZlZlZlZlZlZlZlZlZ \CHCQwD/C?$Zg3 |h@~K +aAm10 \ o = A}FDE = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @'Length(Segment o) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8DKX3 |h@~K +aAm11 \ n = A}FDE = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @'Length(Segment n) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8Djw3 |h@~K +aAm12 \ m = A}FDE = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @'Length(Segment m) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8D0  |h@~K+aAbf d KTpT | `TPt  \CCC`C ǟ?()g  |h@~K+aAbg \C`C ǟC0CuW?*(m  |h@~K+aAbh rʢCjCv \CCC0CuW?*)^c |h@~K+aAAE4 gD ggggggg gXohoxoooooo \CC@ pug |h@~K+aAAFag \C@Cu ^"c' |h@~K+aAAG gdgTg!ci  R af \CC vj{o |h@~K+aAR \C:$Bw 0KP |h@~K+aAS \CNtHC 1MR |h@~K+aAT\\ \D]C 24X& |h@~K+aAbjv< gtgDgo{k \D `CC@C?9retn |h@~K+aAbkvt=( g gwp|und \CǀCC8C?;-?2Do |h@~K+aAAIgC@(DCBolCCgC(CxoNCbC \Cf`Cc 8*/g D |h@~K+aAAJCHoNCbCCC gCBCC4 gCDCzCdg \Ck0C 7kpC |h@~K+aAAKC@C$ gDBCC gCcCMCCTg@C@CNC \CCK 6uiR  |h@~K +aAaq \C:$BwD]C?><JR  |h@~K +aAar\ \D]CCNtHC?=>uPo  |h@~K +aAas \CNtHCC:$Bw?<="m/ |h@~K +aAm4 \  m{!:A}SRT = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @' Angle(SRT) = t m) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8D=<>7mD |h@~K +aAm5 \  m{!:A}RTS = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @' Angle(RTS) = t m) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8D<>=m |h@~K +aAm6 \  m{!:A}TSR = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @' Angle(TSR) = t m) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8D>=<uiw  |h@~K+aAaz \C:$BwCCC~?=<>!R  |h@~K+aAba \D]CCZCZ?<>=YP  |h@~K+aAbbI \CNtHCCC?>=< p%u^ |h@~K+aA2nd CircumcenterdgP zʢ^ \CC=@?ZoX |h@~K+aAbmCCCgC:DCCoάCFCxoNCbCoC0x \C):BfCCe?6C C |h@~K+aAbngXCCg@CC$ gDCCC g@CmCBC@Cg \D yC&CwCd?7BYkg |h@~K +aAm13 \  m {S:RT} = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @'Length(Segment RT) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8DDHkV |h@~K +aAm14\\ \  m {S:SR} = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @'Length(Segment SR) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8DFkky |h@~K +aAm159gt>.X7 \  m {S:TS} = @PaQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @'Length(Segment TS) =  }I@+SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8DELpQu  |h@~K+aAUp 8,O < 8 \C$C E |h@~K+aAVdt_I, \Cz$Cc D  |h@~K+aAW \C$Cb Ffr |h@~K+aAaw \C$CC$-?E<\\ |h@~K+aAax\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ \Cz$CDC?F>;\\ |h@~K+aAay\\\\\\\\\\\\\\\\\\\\\\\\\\ \C$CxBC?D=lq |h@~K+aA 2nd Incenter #G0 ʢ= \C(]C}bLK p%uBV |h@~K+aA4th CircumcentergHrʢZ \CC ONo%pD  |h@~K+aAbo;CwCoCC@dDDgBCCoDyCo \CCC`C ǟ?(Mlax| |h@~K +aAm19 \ {D:{(:m {S:SR}}}{j} = aQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @''Length(Segment SR)/Length(Segment j) = +SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8DQlax |h@~K +aAm20ppppppppppppp \ {D:{(:m {S:RT}}}{k} = aQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @''Length(Segment RT)/Length(Segment k) = +SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8DPiax |h@~K +aAm21ppppppppYSTEM\PWRT \ {D:{(:m {S:TS}}}{l} = aQcpaJ~hahm'z>BLmH}M@`(mPz&~!33Ph@H +P`,0'N 8 @''Length(Segment TS)/Length(Segment l) = +SYP(h@&+P~(#cL5xûr(8#P((÷K\A &N ( (5}I~(5&v  5 _Pj~a\}IaTn@"H~aSLPaua+{@ aQaMaJ,a+{@0"(8DRR  |h@~K+aAat \D]CC$Cb?U>uiQu  |h@~K+aAau\\\ \C:$BwC$C?S<P  |h@~K+aAav \CNtHCCz$Cc?T=jo |h@~K+aA2nd Orthocenter_@zʢT \CHCQw;XW4Xh  |h@~K+aAbc|  -!"|K {E PxM.ѝ۶7 \C2HCC$C?FU |h@~K+aAbdr  6 JgKgGh+!k ! > azMZ \D C;C$C?DTmy] |h@~K+aAbeUsl{g8cFwjNTJ: \Cz$CCz$C*?ESxg  |h@~K+aAc3yCCCgDBCDy$ gDCCC gvDCƹCdg \CCC){D?5%F?5%FZ[n s |h@~K+aA 2nd Centroid #p  G(ʢ? \CzCs=/`a p%u |h@~K +aA3rd Circumcenter0gHʢ[ \CCecPu  |h@~K +aAbi g$c dgf_Ig \CCCNtHC?=ho{?  |h@~K+aAblPR 2nd Cntroid #  G( \CCCC?hx |h@~K +aAc1 \CCC){E?5%F?5%Fhixg |h@~K+aAc2o"DCDCoCBC@Bo o$o9 \CCC){E?5%F?5%FMj