<prompt> Katika heksagoni mbonyeo ABCDEF, pande zote sita zina mfuatano, pembe A na angle D ni pembe za kulia, na angle B, angle C, angle E, na pembe F zinalingana. Eneo la eneo la hexagonal ni 2116sqrt21. Tafuta AB.  <response>: Kwa sababu angleB, angle C, angle E, na angle F zinalingana, kipimo cha shahada cha kila moja ni displaystyle.720-2cdot90over4 135. Mistari BF na CE inagawanya eneo la hexagonal katika pembetatu mbili za kulia na mstatili. Acha ABx. Kisha BFxsqrt2. Kwa hivyo anzaalign2116sqrt21ABCDEF2cdot 1over2x2xcdot xsqrt2x21sqrt2,mwishoalignhivyo x22116, na x46.asyjozi A,B,C,D,I,F;A0,0;B7,0;F0,7;I6,13;D13,13;C13,6;nukta A;nukta B;nukta C;nukta D;nukta I;nukta F;choraA--B--C--D--I--F--mzunguko,upana wa mstari0.7;lebovidogo A,A,S;lebodogo B,B,S;lebovidogo C,C,E;lebovidogo D,D,N;lebovidogo E,I,N;lebovidogo F,F,W;asy 