<prompt> asy chora0,0--0,3--4,0--mzunguko,nukta; chora4,0--7,0--7,10--mzunguko,nukta; chora0,3--7,10,kitone; MPC,0,0,SW;MPA,0,3,NW;MPB,4,0,S;MPE ,7,0,SE;MPD,7,10,NE; asyPembetatu ABC ina pembe ya kulia ya C, AC3 na BC4. Pembetatu ABD ina pembe ya kulia ya A na AD12. Alama C na D ziko pande tofauti za overlineAB. Mstari unaopitia D sambamba na overlineAC hukutana na overlineCB iliyopanuliwa kwa E. IkiwafracDEDBfracmn,ambapo m na n ni nambari kamili chanya, basi mntextA 25quad textB 128quad textC 153quad textD 243quad textE 256  <response>: Acha F iwe kigezo kwamba DF na CF zilingane na CE na DE, mtawalia, na acha DE x na BE2 169-x2. Kisha, FDEC x4sqrt169-x2 ABC BED ABD AFD 6 dfracxsqrt169-x 22 30 dfracx-34sqrt169-x22. Kwa hivyo, 4xxsqrt169-x2 60 xsqrt169-x2 - 3sqrt169-x2. Kurahisisha 3sqrt169-x2 60 - 4x, na 1521 - 9x2 16x2 - 480x 3600. Kwa hivyo 25x2 - 480x 2079 0, na x dfrac48pm155. Inaangalia, x dfrac635 ndio jibu, kwa hivyo dfracDEDB dfracdfrac63513 dfrac63 65. Jibu ni 128. 