<prompt> Mraba ABCD ina urefu wa upande wa 2. Nusu duara yenye kipenyo cha overlineAB imeundwa ndani ya mraba, na tanjenti hadi nusu duara kutoka C inakatiza upande overlineAD kwa E. Je, urefu wa overlineCE ni upi?asyjozi A,B,C,D,I;I0,2.5;A0,0;B10,0;C10,10;D0,10;chora5,5..A--B..mzunguko,upana wa mstari0.7;choraC--I,upana wa mstari0.7;choraA--B--C--D--mzunguko,upana wa mstari0.7;leboA,A,SW;leboB,B,SE;leboC,C,NE;leboD,D,NW;leboE,I,W;asy  <response>: Acha F iwe mahali ambapo overlineCE ni tangent kwa nusu duara, na acha G iwe katikati ya overlineAB. Kwa sababu overlineCF na overlineCB zote ni tanjiti za nusu duara, CF CB 2. Vile vile, EA EF. Acha x AE. Nadharia ya Pythagorean ilitumika kwa pembetatuCDE inatoa 2-x2 22 2x2.Inafuata kwamba x 12 na CE 2 x frac52.asyjozi A,B,C,D,I;I0,2.5;A0,0;B10,0;C10,10;D0,10;chora5,5..A--B..mzunguko,upana wa mstari0.7;choraC--I,upana wa mstari0.7;choraA--B--C--D--mzunguko,upana wa mstari0.7;leboA,A,SW;leboB,B,SE;leboC,C,NE;leboD,D,NW;leboE,I,W;leboF,2,4,NW;leboG,5,0,S;kuchora5,0--C,dashed;chora5,0--2,4,iliyopigwa;kuchora5,0--I,dashed;asy 