G F:> F%-capm0IP4IZsx &pI AJ:"8 "#C2B  &pI B$00H$ CC sJxO &pI C`0 CB \'  &pI @'/Draw a line parallel to AC through the point B.Pp0lP`p@Q  &pI Here is the original triangle.PP8080J{O  &pI Q^@@HHlBC JOF &pI R@F0JTF` CTC ', &pI A@@X2>辡kE(tCHC'`,e &pI C2t2XCC gj  &pI 8O@@8 P5HH'KoMove point B along the line and notice the area. Does it change? What is changing? What is staying the same? 8@ Relabelc 08LPbdPQceej &pI Q^@@HHlBD  &pI R@F0JTF` C>D   &pI A@@X2>辡kE(tC0C HM &pI C2t2XCC Cwk   &pI 8հհ` P Tifficulty0+QbNotice that as you move point B , the line segment AC stays the same as segments AB and BC change. of the triangle. What else stays the same?-ѠferencesՐ pՐ@sz !| &pI 8 )yS%Pp8F) AC is called the base of the triangle. What else stays the same?e?88p 08<~K < &pI 80 po0 g=|HnP?< HnHn?<=|wHnn|What else stays the same?|PHnHn?< HnHn?<Hn0n ?<N (JPg/ _#``/ /Nr T Y^  &pI AEKmentsRecet Servers Scrapbook StickieC DV Y^ &pI AF0KDp CWDV 6;% &pI AH%HHt&0C(DN }gDict  &p I e Video PlayerAppleCD Audi PlayerAutomated Tasks Cala ,VTry drawing line through AC parallel to B. Then draw a perpendicular line to the two paralel lines. Notice that this distance is always the same. \0Recenk |Dict! &p I e Video PlayerAppleCD Audi PlayerAutomated Tasks Cala*This is called the height of the triangle.eeGlobal Village Fax CenterGraphing CalculatorJigsaw Puzzle Key Caps }{Dict  &p I e Video PlayerAppleCD Audi PlayerAutomated Tasks Cala#Using GSP we can show these lengthsFind FileGlobal Village Fax CenterGraphing CalculatorJigsaw Puzzle Key Cauz4: : &p I 8 Pp8 pP 'SNow the question is how can we use the height and the base to find the area seeing that these are the only two constants in the problem?P8p`8r  &pI j%P Il%P IC2BCC?rO  &pI k@@@@CCCB?rxO  &pI lACBC2B?uM  &pI p1p! DbP ?CBCCC2BIO' &pI abG KTG ZBCCTC?&,eDict  &pI aeVideo PlayerAppleCD Audi PlayerAutomated Tasks CalaCCCHC? h &pI m10[Fp  mB(PHnS n PHh@Hn?<HnHn  m{!:A}ABC = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@I Angle(ABC) = : @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I' &pI abG KTG ZBDC>D? MDict  &pI base2t2TCCC0C?B~Vq  X^' &pI am K \C DVCWDV?[lT &pI m3P8 E40`8 Area ABC = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@IArea(Polygon ABC) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`IJO>æ &p I B2t2XC>C rn &pI m4>`0M@ E4>@>M@  m {S:AB} = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@ILength(Segment AB) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I~l &pI m5Al p1  m {S:BC} = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@ILength(Segment BC) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`Ik &pI m6a h  m {S:CA} = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@ILength(Segment CA) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`Iv P h &pI m9 JPtoPJBXRHH  m {S:CA} = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@ILength(Segment CA) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I> &p I B2t2XC>D Y^?Kn  &p I B<tCFDV "5;'  &pI basetCDNCODN?oo"&OP  &pI adOPЫ \(PЫ CHCC>C?$&Oe  &pI af@  Db C>CCC? $)McDict  &pI p4Video PlayerAppleCD Audi PlayerAutomated Tasks Cala?ContCCC>CCHC $u &pI m11d>@ E4cd`>   m{!:A}ABC = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@I Angle(ABC) = t CA) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I$ P  &pI adOPЫ \(PЫ C0CC>D?) M  &pI af@  Db C>DCC?)KDict  &pI p4Video PlayerAppleCD Audi PlayerAutomated Tasks Cala?0CCC>DC0C) 6;? &p I A2t2TC]uDN +6u;z@I\ &p I C<tCtDN +'  &pI ar8080HHCFDMCFD`?"*%U &pI m3V@L E4V VK  Area ABC = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@IArea(Polygon ABC) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I.t  &pI m7 JԀdЫPJBXRHH  m {S:AB} = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@ILength(Segment AB) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I, seric &pI m8aryApple Video PlayerAppleCD Audio PlayerAutomateds  m {S:BC} = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@ILength(Segment BC) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I-0 &pI m3V@L E4V VK  Area ABC = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@IArea(Polygon ABC) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I25^Dict  &pI aoVideo PlayerAppleCD Audi PlayerAutomated Tasks CalaC]uDNCFDV?*35;zDict  &pI basetCtDNC]uDN?Vq Y345^zDict  &pI bobtCFDVCtDN?j(4*8\x  &pI baset@ !C]uDNCFDVCtDN3*4pDict &pI m17ideo PlayerAppleCD Audi PlayerAutomated Tasks Cala  m{!:A}ABC = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@I Angle(ABC) = ABC) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I3*48\xDict  &pI p7Video PlayerAppleCD Audi PlayerAutomated Tasks Cala?ContCtDNCFDVC]uDN4*36; &p I AKHH00CFDN +5h &pI m14Du0wp  bob = ABC = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@ILength(Segment bob) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I<a{ &pI m15bz{P@h@ILength(Segment base) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I;[lato &pI m16Control PanelsFast Fid alias Find FileGlobal Vig  m {S:AB} = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@ILength(Segment AB) = = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I:EKV &pI m18Ԡ0 Area ABC = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@IArea(Polygon ABC) = = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I?5^  &p I height@t`@Kt"H@(CFDNCFDV?I$I$*@(Q &p I m208 E4@8 base = C = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@ILength(Segment base) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`I;D?P &p I m19P@8 E40 8  height = = p@I߰,=5OI h@I D J| f@I`(I8I@Hh@I4@4 ZtϨ I@OL0h@I@& I<& I@` I>@h@ILength(Segment height) = @6@y4!H If6@cH I@IIIIl@-IR0Il@-*-Rf@c-J@:4J$I0` ZH I@bH I6@(IXH `KLI w IIP@P<<Ix` ?`@cIBHHh@I` JI@z fI@0H J$`IN@`IC HG@bH I@(I(H `I@HG`I,@I(@I @zH I` M_dHG`IE