<prompt> ABCDEFGH iliyoonyeshwa hapa chini ni mchemraba. Tafuta sin pembe GAC.asykuagiza tatu;mara tatu A,B,C,D,EE,F,G,H;A 0,0,0;B 1,0,0;C 1,1,0;D 0,1,0;EE 0,0,1;F BEE;G C EE;H D EE;kuchoraB--C--D;kuchoraB--A--D,dashed;kuchoraEE--F--G--H--EE;kuchoraA--EE,iliyopigwa;choraB--F;kuchoraC--G;kuchoraD--H;leboA,A,S;leboB,B,W;leboC,C,S;leboD,D,E;leboE,EE,N;leboF,F,W;leboG,G,SW;leboH,H,E;asy  <response>: Tunachora pembetatu ya kulia GAC ndani ya mchemraba ulio hapa chini:asykuagiza tatu;mara tatu A,B,C,D,EE,F,G,H;A 0,0,0;B 1,0,0;C 1,1,0;D 0,1,0;EE 0,0,1;F BEE;G C EE;H D EE;kuchoraB--C--D;kuchoraB--A--D,dashed;kuchoraEE--F--G--H--EE;kuchoraA--EE,iliyopigwa;choraG--A--C, iliyokatika;choraB--F;kuchoraC--G;kuchoraD--H;leboA,A,NW;leboB,B,W;leboC,C,S;leboD,D,E;leboE,EE,N;leboF,F,W;leboG,G,SW;leboH,H,E;asyKwa kuwa overlineAG ni nafasi ya diagonal ya mchemraba, tuna AG CGcdotsqrt3. Kwa hivyo, tukizingatia pembetatu ya kulia AGC inatupa sinangle GAC fracCGAG fracCGsqrt3CG frac1 sqrt3 fracsqrt33. 