I79;XX=,dd +(I)  1Courier New1Symbol New1Courier New1Courier NewTimesr NewTimesr New1Courier New1Courier New1Courier New1Courier NewXx/VXx/VXx/VXx/V?/ <```@@@?~~~~~ԱޱޱԱ޿޿ph (((Pdd{ d< p {2 @;6~?@wfffff̨@J)_Cl8@Jvl7???@@@@@@033333??@^ߛOw?̌???<9Ic@<Vܚ@@?@ @@@?<@@@@@@@@@@dddddddddddddddddddddddddddddddddddddddd 2??@$$$????????4NNNcN KGH̤M$(HL00pi/4 z3X\Professional2??@$$$3333333@????????3333333@dMM`MLxM bNNM Mc0pi/4AMATYC_REview\Heron\2??@$$$ k߰@)r;@???????? k߰@)r;@TNNȅNINCN;N|,N\YGP;Nb*cos(AA(a,b,c))b*sin(AA(a,b,c))pi/43X@2???$$$3333333@??????TMMLMdLpQLxLHXF,JsGGDD00c02???$$$ k߰@)r;@??????,L5IJIPJ,PKKKPLK\rH\GJ >E`9E00b*cos(AA(a,b,c))b*sin(AA(a,b,c))2yz2???$$$3333333@ k߰@)r;@??????xIKGK@K:K2Kd*KJCClPPpPPdPP PXC(a,b,c)+RI(a,b,c)*cos(t)YC(a,b,c)+RI(a,b,c)*sin(t)0.0;2pi-&XL2??@$$$#X0@'ӻ?????????#X0@'ӻ? <JpI4]/D/CxCH QfQ XBIA(a,b,c) YBIA(a,b,c)pi/4Vvw2???$$$#X0@'ӻ??????? DxEODHGGeDMQ P4@QQģQQ00 XBIA(a,b,c) YBIA(a,b,c)<w}z02???$$$8ns6ǎ@4333333@TU)??????? MIHĨHȩH̪HЫHQtM$RlRsRxsRc0 XBIB(a,b,c) YBIB(a,b,c)2??@$$$8ns6ǎ@TU)?????????8ns6ǎ@TU)?  H H H H HHCLCQ$P XBIB(a,b,c) YBIB(a,b,c)pi/42??@$$$N!QE@ɿ????????N!QE@ɿ ԬHحHܮHHHHHESS XBIC(a,b,c) YBIC(a,b,c)pi/4Vs w t8 V2???$$$N!QE@ɿ k߰@)r;@?????? PCTCXC\C`CdChChRDIRL6TDTdTTb*cos(AA(a,b,c))b*sin(AA(a,b,c)) XBIC(a,b,c) YBIC(a,b,c)2???$$$̬@̬@B&0???????TSL{DpTt-S,S@NxQU&REJ&R U XC(a,b,c) YC(a,b,c) XC(a,b,c)02???$$$ʅbEk@B&0?̬@pI???????LUV$VlVVVV|__]`[`VmW XC(a,b,c) YC(a,b,c)#XC(a,b,c)-RI(a,b,c)*sin(AA(a,b,c))#YC(a,b,c)+RI(a,b,c)*cos(AA(a,b,c))2???$$$̬@6N6̖?>Q@@B&0???????XX"_2_,_)_T+_]Xaa4WaLb(`Hpb XC(a,b,c) YC(a,b,c)#XC(a,b,c)+RI(a,b,c)*sin(AB(a,b,c))#YC(a,b,c)+RI(a,b,c)*cos(AB(a,b,c))xyž@@3333333@JXT@@@@@@@@@@@@@@@@@@@@@@@@@@@@<QTDat<QTDat<QTDatarccos((y^2+z^2-x^2)/(2*y*z))AA4Marccos((x^2+z^2-y^2)/(2*x*z))ABHMpi-AA(x,y,z)-AB(x,y,z)AC\M0.25*sqrt((x+y+z)*(x+y-z)*(x-y+z)*(-x+y+z))}Ut#v?42#Ut#v(4uhu5tV4AREA3333pM2*AREA(x,y,z)/(x+y+z)RIMz*sin(AB(x,y,z)/2)*cos(AA(x,y,z)/2)/sin((AA(x,y,z)+AB(x,y,z))/2)XCMz*sin(AB(x,y,z)/2)*sin(AA(x,y,z)/2)/sin((AA(x,y,z)+AB(x,y,z))/2)YCMsqrt(y*z*(1-(x/(y+z))^2))JAyMJA(y,x,z)JBMJA(z,y,x)JCMJA(x,y,z)*cos(AA(x,y,z)/2)XBIAMJA(x,y,z)*sin(AA(x,y,z)/2)YBIAMz-cos(AB(x,y,z)/2)*JB(x,y,z)<5džV@ԚedžXV@42B@2@pXBIBdžX$Nsin(AB(x,y,z)/2)*JB(x,y,z)YBIB8Ny*cos(AA(x,y,z))+JC(x,y,z)*cos(AB(x,y,z)+AC(x,y,z)/2))p)p)p)p)p)p)pXBICpLNy*sin(AA(x,y,z))-JC(x,y,z)*sin(AB(x,y,z)+AC(x,y,z)/2)YBICIncenter where the angle bisectors intersect^2+(b-a)^2))6 [?˟e|F@S ; @6Ev_@Times New Roman$CIncenter IHere alltitudes intersectE3XDWeO@sd&@&i@׽|$U@Times New RomanCBisectors in Purpletudes intersectt%E3XDWlh%@p_m@Z`Q8@Ior^$@Times New RomanCTriangle in BLUEitudes in GREENctt%E3XDWsA?rě/?Ra1(­@/e@Times New RomanLCsides of length a, b, c) , (b,0)tt%E3XDW-h@<ı@,=}@o zi@Times New Roman(x,y) = (0,0)Vv'k6Uxxxxxx8@zJOYU?1Courier New C(x,y) = (c,0)Vv'k6U @mLd?1Courier New tC(x,y) = (b*cos(AA(a,b,c)),b*sin(AA(a,b,c)))Vv'k6UW@"Ht?1Courier New ,Csegment (0,0)--(c,0)3X3XVv'k6Uqqܞ@e?1Courier New Csegment (0,0)--(b*cos(AA(a,b,c)),b*sin(AA(a,b,c)))Vv'k6U6SĽ@*sn'?1Courier New Csegment (c,0)--(b*cos(AA(a,b,c)),b*sin(AA(a,b,c)))Vv'k6U4‰@DF?1Courier New TC(x,y) = (XC(a,b,c),YC(a,b,c))W`|WW[W[WVv'ZA+[&@%vuE?1Courier New C(x,y) = (XC(a,b,c)+RI(a,b,c)*cos(t),YC(a,b,c)+RI(a,b,c)*sin(?Vv'ZA+?0HB@$ao5?1Courier New C(x,y) = (XBIA(a,b,c),YBIA(a,b,c))Vv'ZA+,t9@paLi%?1Courier New |C segment (0,0)--(XBIA(a,b,c),YBIA(a,b,c))#@4Vv'ZA+h+Cؤ@X7c?1Courier New 4C segment (c,0)--(XBIB(a,b,c),YBIB(a,b,c))42#Vv'ZA+mL V@A"]?1Courier New C (x,y) = (XBIB(a,b,c),YBIB(a,b,c))VV\Vv'ZA+Vh@+ W?1Courier New C (x,y) = (XBIC(a,b,c),YBIC(a,b,c)))xӇVv'ZA+Q_@UP?1Courier New \C segment (b*cos(AA(a,b,c)),b*sin(AA(a,b,c)))--(XBIC(a,b,c),YBVv'ZA+P1ii@J&?1Courier New lKsegment (XC(a,b,c),YC(a,b,c))--(XC(a,b,c),0)2C3333333@Vv'ZA+vr@@NGS?1Courier New Nsegment (XC(a,b,c),YC(a,b,c))--(XC(a,b,c)-RI(a,b,c)*sin(AA(aVv'ZA+:J{̀@}$y$?1Courier New @^segment (XC(a,b,c),YC(a,b,c))--(XC(a,b,c)+RI(a,b,c)*sin(AB(aVv'ZA+e ?TUDt?1Courier New @@@h!@