2 Cicapm1T=|Za0,!wz F0C(0C@?CC($.%CSk( CC1X'CuDC7F#0Acute Triangle ABC Circumcircle C1 Orthocenter Hocenter HPkCuDC7F 0C΀CS(@'aCuDC7:?  wz F0 O & ^\ 0:  " a"+#h 4^\!&D""CC +0  wz F0 N &5b^ 08 !T" 0Pb ^\!& CC DI- wz F0AYYZZ `P,B `0CBy~  wz F0B`p,Zi<_nA\k>  `0CCL',  wz F0C`,`0D @CL !wz F0ffGGyyyy33ffff4H4H  6\Investigation: What value do we get if we to add the three ratios together? Is this value constant regardless of where we move points A, B, or C? Double Click on the "Show Sum of Ratios" button, then move points A, B, or C around. What happens to the sum of ratios? pt2H@P 'L`*<k  Cx  wz F0j 0 `,   CBCCL?x,  wz F0k ` , CCLD @CL?C,  wz F0l`,VVzQ`pGtJuLtJ`ca[VUS{zD @CLCB?' Pla wz F0md Tasks Calculator CooserControl PanelsDigitalCCC? $5' Pla wz F0nd Tasks Calculator CooserControl PanelsDigitalCC@CC? @' Pla wz F0od Tasks Calculator CooserControl PanelsDigitalDChCC/? wz F0 Hy Dh+ y NDcRCC   wz F0 I H Dh0ؠH (C@C  - wz F0HZʈZ@0?.=Z0Zr'ZʀZ0k"aPZ@HCC;9 ty- wz F0EYYZZH0`,0`CݓB - wz F0FYYZZH@`,@`C|C SV - wz F0DZʈZ@0?.9Z0Zr'ZʀZ0k"aPZ@HCCL ;|' wz F0 pH DhԐH2.00dC@C%C@B?$W' wz F0 qH DhېH%`CCCD `B? ,e DV  wz F0wle System Profiler Calculaor ChooserControl PanelsD @CLC|C SV?sxe DV  wz F0ule System Profiler Calculaor ChooserControl PanelsCCLCݓB?Ce DV  wz F0sle System Profiler Calculaor ChooserControl PanelsCBCCL?{Z  wz F0p1`up,QzGL5P:`uP,fnn5P:`u0?uC|C SVCC;9CCLv*Z  wz F0p2`p,<?P`p,Recent Docu<?P`p`?p@D @CLCC;9CݓB{Z  wz F0p3`n0,>0A`n,oyR]>0A`m?mCC;9CCLCCLF  wz F0p4F0GF?CݓBCC;9CBF  wz F0 p5JP0K@J?CC;9C|C SVCB*Z  wz F0 p6`b@,K M`b ,lAwLlAK M`b?aD @CLCCLCC;9 wz F0 JHH0CC!c Prof wz F0m19r ChooserControl anels Fast Find Favorites @ m {S:CF} = G:G?CJ0d lG@H\  V]8Gw?W용_ ?J0T/g2G GcJ0 IIG,?(GHGGLength(Segment CF) = HPGd\\@J0HW0HP /\0r@f(00PHHHQK,@0HЂHѨ(d\\@J00I0BH/II@0r V]I&V]Ip9?b <S 0i 4 zV]  0I1j?L= JT/4Prof wz F0m17r ChooserControl anels Fast Find Favorites @ m {S:BE} = G:G?CJ0d lG@H\  V]8Gw?W용_ ?J0T/g2G GcJ0 IIG,?(GHGGLength(Segment BE) = HPGd\\@J0HW0HP /\0r@f(00PHHHQK,@0HЂHѨ(d\\@J00I0BH/II@0r V]I&V]Ip9?b <S 0i 4 zV]  0I1j?L= JT/4jyProf wz F0m15r ChooserControl anels Fast Find Favorites @ m {S:AD} = G:G?CJ0d lG@H\  V]8Gw?W용_ ?J0T/g2G GcJ0 IIG,?(GHGGLength(Segment AD) = HPGd\\@J0HW0HP /\0r@f(00PHHHQK,@0HЂHѨ(d\\@J00I0BH/II@0r V]I&V]Ip9?b <S 0i 4 zV]  0I1j?L= JT/4Aq4(Pwz F0 c1HH 3|`H DhCC!cBP=g[OT wz F0 Q X$H ' '9 X0 '"p ' X0 'z 'z ' 'XDݒB' #~uz0wz F0 R X$H ' '9 X0 '"p ' X0 'z 'z ' 'XCCks #@wz F0 P X X@  L, '4P(( X0 Xp X X0 'z  X@HCC} #}t,e DV  wz F0xle System Profiler Calculaor ChooserControl PanelsD @CLCCks?%Nx e DV  wz F0vle System Profiler Calculaor ChooserControl PanelsCCLDݒB'?$Ce DV  wz F0tle System Profiler Calculaor ChooserControl PanelsCBCC}?&Prof wz F0m20r ChooserControl anels Fast Find Favorites @ m {S:CR} = G:G?CJ0d lG@H\  V]8Gw?W용_ ?J0T/g2G GcJ0 IIG,?(GHGGLength(Segment CR) = HPGd\\@J0HW0HP /\0r@f(00PHHHQK,@0HЂHѨ(d\\@J00I0BH/II@0r V]I&V]Ip9?b <S 0i 4 zV]  0I1j?L= JT/4'Prof wz F0m18r ChooserControl anels Fast Find Favorites @ m {S:BQ} = G:G?CJ0d lG@H\  V]8Gw?W용_ ?J0T/g2G GcJ0 IIG,?(GHGGLength(Segment BQ) = HPGd\\@J0HW0HP /\0r@f(00PHHHQK,@0HЂHѨ(d\\@J00I0BH/II@0r V]I&V]Ip9?b <S 0i 4 zV]  0I1j?L= JT/4({Prof wz F0m16r ChooserControl anels Fast Find Favorites @ m {S:AP} = G:G?CJ0d lG@H\  V]8Gw?W용_ ?J0T/g2G GcJ0 IIG,?(GHGGLength(Segment AP) = HPGd\\@J0HW0HP /\0r@f(00PHHHQK,@0HЂHѨ(d\\@J00I0BH/II@0r V]I&V]Ip9?b <S 0i 4 zV]  0I1j?L= JT/4)' wz F0m23pQ1p1H3X Y Z [ \  @{D:m {S:CR}}{m {S:CF}} = G?CJ0d lG@H\  V]8Gw?W용_ ?J0T/g2G GcJ0 IIG,?(GHGG(Length(Segment CR)/Length(Segment CF) = d\\@J0HW0HP /\0r@f(00PHHHQK,@0HЂHѨ(d\\@J00I0BH/II@0r V]I&V]Ip9?b <S 0i 4 zV]  0I1j?L= JT/4* ' wz F0m22I{| } Text Format  @{D:m {S:BQ}}{m {S:BE}} = G?CJ0d lG@H\  V]8Gw?W용_ ?J0T/g2G GcJ0 IIG,?(GHGG(Length(Segment BQ)/Length(Segment BE) = d\\@J0HW0HP /\0r@f(00PHHHQK,@0HЂHѨ(d\\@J00I0BH/II@0r V]I&V]Ip9?b <S 0i 4 zV]  0I1j?L= JT/4+!g&t wz F0m21H1p1{p3X Y Z [ \  @{D:m {S:AP}}{m {S:AD}} = G?CJ0d lG@H\  V]8Gw?W용_ ?J0T/g2G GcJ0 IIG,?(GHGG(Length(Segment AP)/Length(Segment AD) = d\\@J0HW0HP /\0r@f(00PHHHQK,@0HЂHѨ(d\\@J00I0BH/II@0r V]I&V]Ip9?b <S 0i 4 zV]  0I1j?L= JT/4,"$ E' wz F0m24Q71p1k 3X Y Z [ \  @W{(:{D:m {S:AP}}{m {S:AD}}} + {(:{D:m {S:BQ}}{m {S:BE}}} + {(:{D:m {S:CR}}{m {S:CF}}} =  V]8Gw?W용_ ?J0T/g2G GcJ0 IIG,?(GHGG~(Length(Segment AP)/Length(Segment AD)) + (Length(Segment BQ)/Length(Segment BE)) + (Length(Segment CR)/Length(Segment CF)) = /\0r@f(00PHHHQK,@0HЂHѨ(d\\@J00I0BH/II@0r V]I&V]Ip9?b <S 0i 4 zV]  0I1j?L= JT/4/.-_uwz F0Show Sum of RatiosS 0vvMpO=GMMpP?0MH vites0Mwz F0HideMc?jS 0hhMpO=GMMpP?0MH  "/0