<prompt> Ikiwa urefu CD ni sqrt3 sentimita, ni idadi gani ya sentimita za mraba katika eneo la Delta ABC?asy kuagiza olympiad; jozi A,B,C,D; A 0,sqrt3; B 1,0;C mguuA,B,-B; D mguuC,A,B; choraA--B--C--A; kuchoraC--D,dashed;lebo30circ,A-0.05,0.4,E;leboA,A,N;leboB,B,E;leboC,C,W;leboD,D,NE ;chora0,.1--.1,.1--.1,0; choraD .1dir210--D sqrt2.1dir165--D.1dir120;asy  <response>: Kutoka 30-60-90 pembetatu ya kulia ACD na hypotenuse overlineAC na mguu mfupi overlineCD, tuna AC 2CD 2sqrt3.Kutoka 30-60-90 pembetatu ABC na mguu mfupi overlineBC na mrefu mguu overlineAC, tuna AC BC sqrt3. Kwa kuwa AC 2sqrt3, tuna BC 2. Kwa hivyo, eneo la pembetatu ABC ni fracACBC2 frac2sqrt322 2sqrt 3. 